Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,2,Mod(14,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14186074890\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 16.0.273503893564697265625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 7 x^{14} - 9 x^{13} + 19 x^{12} - 16 x^{11} + 49 x^{10} - 32 x^{9} + 98 x^{8} - 110 x^{7} + 145 x^{6} - 40 x^{5} + 52 x^{4} + 24 x^{3} + 19 x^{2} + 6 x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 92.1 | ||
Root | \(-0.132595 + 0.408085i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 143.92 |
Dual form | 143.2.h.b.14.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03831 | − | 0.754373i | −0.734193 | − | 0.533422i | 0.156694 | − | 0.987647i | \(-0.449916\pi\) |
−0.890887 | + | 0.454225i | \(0.849916\pi\) | |||||||
\(3\) | 0.598926 | − | 1.84330i | 0.345790 | − | 1.06423i | −0.615370 | − | 0.788239i | \(-0.710993\pi\) |
0.961160 | − | 0.275993i | \(-0.0890067\pi\) | |||||||
\(4\) | −0.109035 | − | 0.335575i | −0.0545174 | − | 0.167787i | ||||
\(5\) | 2.14189 | − | 1.55618i | 0.957883 | − | 0.695943i | 0.00522508 | − | 0.999986i | \(-0.498337\pi\) |
0.952658 | + | 0.304043i | \(0.0983368\pi\) | |||||||
\(6\) | −2.01241 | + | 1.46210i | −0.821561 | + | 0.596899i | ||||
\(7\) | 0.230284 | + | 0.708742i | 0.0870393 | + | 0.267879i | 0.985097 | − | 0.171997i | \(-0.0550221\pi\) |
−0.898058 | + | 0.439877i | \(0.855022\pi\) | |||||||
\(8\) | −0.933132 | + | 2.87188i | −0.329912 | + | 1.01536i | ||||
\(9\) | −0.612005 | − | 0.444648i | −0.204002 | − | 0.148216i | ||||
\(10\) | −3.39787 | −1.07450 | ||||||||
\(11\) | −3.17179 | − | 0.969420i | −0.956329 | − | 0.292291i | ||||
\(12\) | −0.683870 | −0.197416 | ||||||||
\(13\) | 0.809017 | + | 0.587785i | 0.224381 | + | 0.163022i | ||||
\(14\) | 0.295551 | − | 0.909611i | 0.0789892 | − | 0.243104i | ||||
\(15\) | −1.58567 | − | 4.88019i | −0.409418 | − | 1.26006i | ||||
\(16\) | 2.56443 | − | 1.86317i | 0.641108 | − | 0.465792i | ||||
\(17\) | 2.09280 | − | 1.52051i | 0.507578 | − | 0.368777i | −0.304326 | − | 0.952568i | \(-0.598431\pi\) |
0.811904 | + | 0.583791i | \(0.198431\pi\) | |||||||
\(18\) | 0.300018 | + | 0.923360i | 0.0707149 | + | 0.217638i | ||||
\(19\) | −1.34601 | + | 4.14260i | −0.308797 | + | 0.950379i | 0.669436 | + | 0.742869i | \(0.266536\pi\) |
−0.978233 | + | 0.207509i | \(0.933464\pi\) | |||||||
\(20\) | −0.755754 | − | 0.549088i | −0.168992 | − | 0.122780i | ||||
\(21\) | 1.44435 | 0.315183 | ||||||||
\(22\) | 2.56198 | + | 3.39926i | 0.546215 | + | 0.724725i | ||||
\(23\) | −2.54998 | −0.531707 | −0.265853 | − | 0.964014i | \(-0.585654\pi\) | ||||
−0.265853 | + | 0.964014i | \(0.585654\pi\) | |||||||
\(24\) | 4.73488 | + | 3.44009i | 0.966503 | + | 0.702205i | ||||
\(25\) | 0.620934 | − | 1.91104i | 0.124187 | − | 0.382208i | ||||
\(26\) | −0.396597 | − | 1.22060i | −0.0777791 | − | 0.239380i | ||||
\(27\) | 3.51786 | − | 2.55587i | 0.677012 | − | 0.491878i | ||||
\(28\) | 0.212727 | − | 0.154555i | 0.0402016 | − | 0.0292082i | ||||
\(29\) | −0.593075 | − | 1.82530i | −0.110131 | − | 0.338949i | 0.880769 | − | 0.473546i | \(-0.157026\pi\) |
−0.990900 | + | 0.134597i | \(0.957026\pi\) | |||||||
\(30\) | −2.03507 | + | 6.26331i | −0.371552 | + | 1.14352i | ||||
\(31\) | 4.92311 | + | 3.57685i | 0.884217 | + | 0.642421i | 0.934364 | − | 0.356321i | \(-0.115969\pi\) |
−0.0501470 | + | 0.998742i | \(0.515969\pi\) | |||||||
\(32\) | 1.97117 | 0.348457 | ||||||||
\(33\) | −3.68660 | + | 5.26595i | −0.641755 | + | 0.916685i | ||||
\(34\) | −3.31999 | −0.569374 | ||||||||
\(35\) | 1.59617 | + | 1.15969i | 0.269802 | + | 0.196023i | ||||
\(36\) | −0.0824827 | + | 0.253856i | −0.0137471 | + | 0.0423093i | ||||
\(37\) | 2.68248 | + | 8.25583i | 0.440997 | + | 1.35725i | 0.886814 | + | 0.462126i | \(0.152913\pi\) |
−0.445817 | + | 0.895124i | \(0.647087\pi\) | |||||||
\(38\) | 4.52264 | − | 3.28589i | 0.733669 | − | 0.533042i | ||||
\(39\) | 1.56801 | − | 1.13922i | 0.251082 | − | 0.182422i | ||||
\(40\) | 2.47049 | + | 7.60338i | 0.390619 | + | 1.20220i | ||||
\(41\) | 3.11180 | − | 9.57715i | 0.485982 | − | 1.49570i | −0.344571 | − | 0.938760i | \(-0.611976\pi\) |
0.830554 | − | 0.556939i | \(-0.188024\pi\) | |||||||
\(42\) | −1.49968 | − | 1.08958i | −0.231405 | − | 0.168126i | ||||
\(43\) | −0.689106 | −0.105088 | −0.0525439 | − | 0.998619i | \(-0.516733\pi\) | ||||
−0.0525439 | + | 0.998619i | \(0.516733\pi\) | |||||||
\(44\) | 0.0205222 | + | 1.17007i | 0.00309385 | + | 0.176395i | ||||
\(45\) | −2.00280 | −0.298560 | ||||||||
\(46\) | 2.64765 | + | 1.92363i | 0.390375 | + | 0.283624i | ||||
\(47\) | −1.99298 | + | 6.13377i | −0.290707 | + | 0.894703i | 0.693923 | + | 0.720049i | \(0.255881\pi\) |
−0.984630 | + | 0.174654i | \(0.944119\pi\) | |||||||
\(48\) | −1.89848 | − | 5.84293i | −0.274022 | − | 0.843354i | ||||
\(49\) | 5.21383 | − | 3.78807i | 0.744833 | − | 0.541153i | ||||
\(50\) | −2.08635 | + | 1.51582i | −0.295055 | + | 0.214370i | ||||
\(51\) | −1.54933 | − | 4.76833i | −0.216949 | − | 0.667700i | ||||
\(52\) | 0.109035 | − | 0.335575i | 0.0151204 | − | 0.0465359i | ||||
\(53\) | −5.94896 | − | 4.32217i | −0.817152 | − | 0.593696i | 0.0987430 | − | 0.995113i | \(-0.468518\pi\) |
−0.915895 | + | 0.401417i | \(0.868518\pi\) | |||||||
\(54\) | −5.58069 | −0.759436 | ||||||||
\(55\) | −8.30221 | + | 2.85946i | −1.11947 | + | 0.385570i | ||||
\(56\) | −2.25031 | −0.300710 | ||||||||
\(57\) | 6.82992 | + | 4.96222i | 0.904644 | + | 0.657263i | ||||
\(58\) | −0.761161 | + | 2.34261i | −0.0999454 | + | 0.307600i | ||||
\(59\) | −0.377050 | − | 1.16044i | −0.0490878 | − | 0.151077i | 0.923508 | − | 0.383579i | \(-0.125309\pi\) |
−0.972596 | + | 0.232502i | \(0.925309\pi\) | |||||||
\(60\) | −1.46478 | + | 1.06422i | −0.189102 | + | 0.137390i | ||||
\(61\) | 1.52798 | − | 1.11014i | 0.195638 | − | 0.142139i | −0.485654 | − | 0.874151i | \(-0.661418\pi\) |
0.681292 | + | 0.732012i | \(0.261418\pi\) | |||||||
\(62\) | −2.41341 | − | 7.42772i | −0.306504 | − | 0.943322i | ||||
\(63\) | 0.174206 | − | 0.536149i | 0.0219478 | − | 0.0675485i | ||||
\(64\) | −7.17554 | − | 5.21333i | −0.896942 | − | 0.651667i | ||||
\(65\) | 2.64752 | 0.328385 | ||||||||
\(66\) | 7.80031 | − | 2.68660i | 0.960151 | − | 0.330697i | ||||
\(67\) | −11.2120 | −1.36977 | −0.684883 | − | 0.728653i | \(-0.740147\pi\) | ||||
−0.684883 | + | 0.728653i | \(0.740147\pi\) | |||||||
\(68\) | −0.738432 | − | 0.536502i | −0.0895480 | − | 0.0650604i | ||||
\(69\) | −1.52725 | + | 4.70038i | −0.183859 | + | 0.565859i | ||||
\(70\) | −0.782477 | − | 2.40822i | −0.0935239 | − | 0.287837i | ||||
\(71\) | 11.2126 | − | 8.14640i | 1.33069 | − | 0.966799i | 0.330953 | − | 0.943647i | \(-0.392630\pi\) |
0.999732 | − | 0.0231522i | \(-0.00737022\pi\) | |||||||
\(72\) | 1.84806 | − | 1.34269i | 0.217796 | − | 0.158238i | ||||
\(73\) | 3.90819 | + | 12.0282i | 0.457419 | + | 1.40779i | 0.868272 | + | 0.496088i | \(0.165231\pi\) |
−0.410854 | + | 0.911701i | \(0.634769\pi\) | |||||||
\(74\) | 3.44274 | − | 10.5957i | 0.400210 | − | 1.23172i | ||||
\(75\) | −3.15073 | − | 2.28914i | −0.363815 | − | 0.264327i | ||||
\(76\) | 1.53692 | 0.176296 | ||||||||
\(77\) | −0.0433435 | − | 2.47122i | −0.00493945 | − | 0.281622i | ||||
\(78\) | −2.48747 | −0.281651 | ||||||||
\(79\) | −6.64308 | − | 4.82648i | −0.747405 | − | 0.543022i | 0.147616 | − | 0.989045i | \(-0.452840\pi\) |
−0.895022 | + | 0.446023i | \(0.852840\pi\) | |||||||
\(80\) | 2.59332 | − | 7.98141i | 0.289942 | − | 0.892349i | ||||
\(81\) | −3.30561 | − | 10.1736i | −0.367290 | − | 1.13040i | ||||
\(82\) | −10.4557 | + | 7.59654i | −1.15464 | + | 0.838897i | ||||
\(83\) | −12.4149 | + | 9.01996i | −1.36271 | + | 0.990069i | −0.364446 | + | 0.931224i | \(0.618742\pi\) |
−0.998267 | + | 0.0588448i | \(0.981258\pi\) | |||||||
\(84\) | −0.157485 | − | 0.484688i | −0.0171830 | − | 0.0528838i | ||||
\(85\) | 2.11637 | − | 6.51352i | 0.229553 | − | 0.706491i | ||||
\(86\) | 0.715503 | + | 0.519843i | 0.0771546 | + | 0.0560561i | ||||
\(87\) | −3.71978 | −0.398803 | ||||||||
\(88\) | 5.74376 | − | 8.20440i | 0.612286 | − | 0.874592i | ||||
\(89\) | −6.22197 | −0.659527 | −0.329764 | − | 0.944064i | \(-0.606969\pi\) | ||||
−0.329764 | + | 0.944064i | \(0.606969\pi\) | |||||||
\(90\) | 2.07952 | + | 1.51086i | 0.219200 | + | 0.159258i | ||||
\(91\) | −0.230284 | + | 0.708742i | −0.0241404 | + | 0.0742964i | ||||
\(92\) | 0.278036 | + | 0.855708i | 0.0289873 | + | 0.0892137i | ||||
\(93\) | 9.54180 | − | 6.93252i | 0.989438 | − | 0.718869i | ||||
\(94\) | 6.69648 | − | 4.86528i | 0.690689 | − | 0.501815i | ||||
\(95\) | 3.56360 | + | 10.9676i | 0.365618 | + | 1.12526i | ||||
\(96\) | 1.18058 | − | 3.63346i | 0.120493 | − | 0.370839i | ||||
\(97\) | 2.97640 | + | 2.16248i | 0.302207 | + | 0.219566i | 0.728546 | − | 0.684997i | \(-0.240197\pi\) |
−0.426338 | + | 0.904564i | \(0.640197\pi\) | |||||||
\(98\) | −8.27117 | −0.835514 | ||||||||
\(99\) | 1.51010 | + | 2.00362i | 0.151771 | + | 0.201371i | ||||
\(100\) | −0.709000 | −0.0709000 | ||||||||
\(101\) | 6.42016 | + | 4.66452i | 0.638830 | + | 0.464137i | 0.859448 | − | 0.511223i | \(-0.170808\pi\) |
−0.220618 | + | 0.975360i | \(0.570808\pi\) | |||||||
\(102\) | −1.98843 | + | 6.11975i | −0.196884 | + | 0.605946i | ||||
\(103\) | 3.36871 | + | 10.3678i | 0.331929 | + | 1.02157i | 0.968215 | + | 0.250119i | \(0.0804697\pi\) |
−0.636286 | + | 0.771453i | \(0.719530\pi\) | |||||||
\(104\) | −2.44297 | + | 1.77492i | −0.239553 | + | 0.174045i | ||||
\(105\) | 3.09364 | − | 2.24766i | 0.301909 | − | 0.219349i | ||||
\(106\) | 2.91631 | + | 8.97547i | 0.283257 | + | 0.871774i | ||||
\(107\) | −3.13233 | + | 9.64033i | −0.302814 | + | 0.931966i | 0.677670 | + | 0.735367i | \(0.262990\pi\) |
−0.980484 | + | 0.196600i | \(0.937010\pi\) | |||||||
\(108\) | −1.24126 | − | 0.901825i | −0.119440 | − | 0.0867782i | ||||
\(109\) | −13.6830 | −1.31059 | −0.655296 | − | 0.755372i | \(-0.727456\pi\) | ||||
−0.655296 | + | 0.755372i | \(0.727456\pi\) | |||||||
\(110\) | 10.7773 | + | 3.29397i | 1.02758 | + | 0.314067i | ||||
\(111\) | 16.8246 | 1.59692 | ||||||||
\(112\) | 1.91106 | + | 1.38846i | 0.180578 | + | 0.131197i | ||||
\(113\) | −4.95050 | + | 15.2361i | −0.465704 | + | 1.43329i | 0.392391 | + | 0.919799i | \(0.371648\pi\) |
−0.858095 | + | 0.513491i | \(0.828352\pi\) | |||||||
\(114\) | −3.34817 | − | 10.3046i | −0.313585 | − | 0.965115i | ||||
\(115\) | −5.46177 | + | 3.96821i | −0.509313 | + | 0.370037i | ||||
\(116\) | −0.547858 | + | 0.398042i | −0.0508673 | + | 0.0369573i | ||||
\(117\) | −0.233765 | − | 0.719455i | −0.0216116 | − | 0.0665137i | ||||
\(118\) | −0.483912 | + | 1.48933i | −0.0445477 | + | 0.137104i | ||||
\(119\) | 1.55959 | + | 1.13311i | 0.142967 | + | 0.103872i | ||||
\(120\) | 15.4950 | 1.41449 | ||||||||
\(121\) | 9.12045 | + | 6.14959i | 0.829132 | + | 0.559053i | ||||
\(122\) | −2.42398 | −0.219456 | ||||||||
\(123\) | −15.7898 | − | 11.4720i | −1.42372 | − | 1.03440i | ||||
\(124\) | 0.663510 | − | 2.04207i | 0.0595849 | − | 0.183384i | ||||
\(125\) | 2.44671 | + | 7.53021i | 0.218841 | + | 0.673522i | ||||
\(126\) | −0.585335 | + | 0.425271i | −0.0521458 | + | 0.0378861i | ||||
\(127\) | 8.38956 | − | 6.09537i | 0.744453 | − | 0.540877i | −0.149650 | − | 0.988739i | \(-0.547815\pi\) |
0.894102 | + | 0.447863i | \(0.147815\pi\) | |||||||
\(128\) | 2.29935 | + | 7.07668i | 0.203236 | + | 0.625496i | ||||
\(129\) | −0.412724 | + | 1.27023i | −0.0363383 | + | 0.111838i | ||||
\(130\) | −2.74894 | − | 1.99722i | −0.241098 | − | 0.175168i | ||||
\(131\) | −5.95780 | −0.520535 | −0.260268 | − | 0.965536i | \(-0.583811\pi\) | ||||
−0.260268 | + | 0.965536i | \(0.583811\pi\) | |||||||
\(132\) | 2.16909 | + | 0.662958i | 0.188795 | + | 0.0577030i | ||||
\(133\) | −3.24600 | −0.281464 | ||||||||
\(134\) | 11.6415 | + | 8.45804i | 1.00567 | + | 0.730663i | ||||
\(135\) | 3.55748 | − | 10.9488i | 0.306179 | − | 0.942323i | ||||
\(136\) | 2.41386 | + | 7.42911i | 0.206987 | + | 0.637041i | ||||
\(137\) | 3.84423 | − | 2.79300i | 0.328435 | − | 0.238622i | −0.411331 | − | 0.911486i | \(-0.634936\pi\) |
0.739766 | + | 0.672864i | \(0.234936\pi\) | |||||||
\(138\) | 5.13158 | − | 3.72831i | 0.436829 | − | 0.317375i | ||||
\(139\) | 0.847346 | + | 2.60786i | 0.0718709 | + | 0.221196i | 0.980539 | − | 0.196322i | \(-0.0628999\pi\) |
−0.908668 | + | 0.417518i | \(0.862900\pi\) | |||||||
\(140\) | 0.215123 | − | 0.662081i | 0.0181812 | − | 0.0559561i | ||||
\(141\) | 10.1128 | + | 7.34735i | 0.851648 | + | 0.618758i | ||||
\(142\) | −17.7875 | −1.49269 | ||||||||
\(143\) | −1.99622 | − | 2.64861i | −0.166932 | − | 0.221488i | ||||
\(144\) | −2.39790 | −0.199825 | ||||||||
\(145\) | −4.11078 | − | 2.98666i | −0.341382 | − | 0.248029i | ||||
\(146\) | 5.01583 | − | 15.4371i | 0.415113 | − | 1.27759i | ||||
\(147\) | −3.85987 | − | 11.8795i | −0.318357 | − | 0.979801i | ||||
\(148\) | 2.47797 | − | 1.80035i | 0.203688 | − | 0.147988i | ||||
\(149\) | −12.5869 | + | 9.14492i | −1.03116 | + | 0.749181i | −0.968540 | − | 0.248857i | \(-0.919945\pi\) |
−0.0626184 | + | 0.998038i | \(0.519945\pi\) | |||||||
\(150\) | 1.54455 | + | 4.75365i | 0.126112 | + | 0.388134i | ||||
\(151\) | 5.75835 | − | 17.7224i | 0.468608 | − | 1.44223i | −0.385779 | − | 0.922591i | \(-0.626067\pi\) |
0.854387 | − | 0.519636i | \(-0.173933\pi\) | |||||||
\(152\) | −10.6411 | − | 7.73119i | −0.863105 | − | 0.627082i | ||||
\(153\) | −1.95689 | −0.158205 | ||||||||
\(154\) | −1.81922 | + | 2.59858i | −0.146597 | + | 0.209399i | ||||
\(155\) | 16.1110 | 1.29406 | ||||||||
\(156\) | −0.553263 | − | 0.401969i | −0.0442965 | − | 0.0321833i | ||||
\(157\) | 4.76704 | − | 14.6714i | 0.380451 | − | 1.17091i | −0.559276 | − | 0.828982i | \(-0.688921\pi\) |
0.939727 | − | 0.341926i | \(-0.111079\pi\) | |||||||
\(158\) | 3.25658 | + | 10.0227i | 0.259080 | + | 0.797365i | ||||
\(159\) | −11.5301 | + | 8.37708i | −0.914393 | + | 0.664346i | ||||
\(160\) | 4.22203 | − | 3.06748i | 0.333781 | − | 0.242506i | ||||
\(161\) | −0.587219 | − | 1.80728i | −0.0462794 | − | 0.142433i | ||||
\(162\) | −4.24247 | + | 13.0570i | −0.333320 | + | 1.02585i | ||||
\(163\) | −7.27740 | − | 5.28734i | −0.570010 | − | 0.414137i | 0.265099 | − | 0.964221i | \(-0.414595\pi\) |
−0.835109 | + | 0.550085i | \(0.814595\pi\) | |||||||
\(164\) | −3.55314 | −0.277454 | ||||||||
\(165\) | 0.298450 | + | 17.0161i | 0.0232343 | + | 1.32470i | ||||
\(166\) | 19.6949 | 1.52862 | ||||||||
\(167\) | −10.4945 | − | 7.62473i | −0.812092 | − | 0.590020i | 0.102344 | − | 0.994749i | \(-0.467366\pi\) |
−0.914436 | + | 0.404730i | \(0.867366\pi\) | |||||||
\(168\) | −1.34777 | + | 4.14801i | −0.103983 | + | 0.320026i | ||||
\(169\) | 0.309017 | + | 0.951057i | 0.0237705 | + | 0.0731582i | ||||
\(170\) | −7.11106 | + | 5.16649i | −0.545394 | + | 0.396252i | ||||
\(171\) | 2.66577 | − | 1.93679i | 0.203856 | − | 0.148110i | ||||
\(172\) | 0.0751366 | + | 0.231247i | 0.00572912 | + | 0.0176324i | ||||
\(173\) | −0.0822824 | + | 0.253239i | −0.00625582 | + | 0.0192534i | −0.954136 | − | 0.299374i | \(-0.903222\pi\) |
0.947880 | + | 0.318628i | \(0.103222\pi\) | |||||||
\(174\) | 3.86227 | + | 2.80610i | 0.292798 | + | 0.212730i | ||||
\(175\) | 1.49742 | 0.113195 | ||||||||
\(176\) | −9.94002 | + | 3.42356i | −0.749257 | + | 0.258061i | ||||
\(177\) | −2.36487 | −0.177755 | ||||||||
\(178\) | 6.46030 | + | 4.69368i | 0.484220 | + | 0.351806i | ||||
\(179\) | −4.77816 | + | 14.7057i | −0.357136 | + | 1.09915i | 0.597624 | + | 0.801776i | \(0.296111\pi\) |
−0.954760 | + | 0.297376i | \(0.903889\pi\) | |||||||
\(180\) | 0.218375 | + | 0.672089i | 0.0162767 | + | 0.0500946i | ||||
\(181\) | −11.5005 | + | 8.35558i | −0.854823 | + | 0.621065i | −0.926472 | − | 0.376365i | \(-0.877174\pi\) |
0.0716488 | + | 0.997430i | \(0.477174\pi\) | |||||||
\(182\) | 0.773761 | − | 0.562170i | 0.0573550 | − | 0.0416708i | ||||
\(183\) | −1.13119 | − | 3.48143i | −0.0836197 | − | 0.257355i | ||||
\(184\) | 2.37946 | − | 7.32323i | 0.175416 | − | 0.539876i | ||||
\(185\) | 18.5931 | + | 13.5087i | 1.36699 | + | 0.993179i | ||||
\(186\) | −15.1370 | −1.10990 | ||||||||
\(187\) | −8.11192 | + | 2.79392i | −0.593202 | + | 0.204312i | ||||
\(188\) | 2.27565 | 0.165969 | ||||||||
\(189\) | 2.62156 | + | 1.90468i | 0.190691 | + | 0.138545i | ||||
\(190\) | 4.57359 | − | 14.0760i | 0.331803 | − | 1.02118i | ||||
\(191\) | −5.00983 | − | 15.4187i | −0.362499 | − | 1.11566i | −0.951533 | − | 0.307548i | \(-0.900491\pi\) |
0.589034 | − | 0.808108i | \(-0.299509\pi\) | |||||||
\(192\) | −13.9074 | + | 10.1043i | −1.00368 | + | 0.729215i | ||||
\(193\) | −9.07265 | + | 6.59167i | −0.653064 | + | 0.474479i | −0.864313 | − | 0.502954i | \(-0.832247\pi\) |
0.211250 | + | 0.977432i | \(0.432247\pi\) | |||||||
\(194\) | −1.45909 | − | 4.49062i | −0.104757 | − | 0.322408i | ||||
\(195\) | 1.58567 | − | 4.88019i | 0.113552 | − | 0.349478i | ||||
\(196\) | −1.83967 | − | 1.33660i | −0.131405 | − | 0.0954714i | ||||
\(197\) | 15.8589 | 1.12990 | 0.564948 | − | 0.825126i | \(-0.308896\pi\) | ||||
0.564948 | + | 0.825126i | \(0.308896\pi\) | |||||||
\(198\) | −0.0564685 | − | 3.21954i | −0.00401304 | − | 0.228803i | ||||
\(199\) | 7.12728 | 0.505239 | 0.252620 | − | 0.967566i | \(-0.418708\pi\) | ||||
0.252620 | + | 0.967566i | \(0.418708\pi\) | |||||||
\(200\) | 4.90887 | + | 3.56650i | 0.347109 | + | 0.252190i | ||||
\(201\) | −6.71516 | + | 20.6671i | −0.473651 | + | 1.45775i | ||||
\(202\) | −3.14730 | − | 9.68638i | −0.221443 | − | 0.681532i | ||||
\(203\) | 1.15709 | − | 0.840674i | 0.0812117 | − | 0.0590038i | ||||
\(204\) | −1.43120 | + | 1.03983i | −0.100204 | + | 0.0728026i | ||||
\(205\) | −8.23857 | − | 25.3557i | −0.575407 | − | 1.77092i | ||||
\(206\) | 4.32345 | − | 13.3062i | 0.301229 | − | 0.927089i | ||||
\(207\) | 1.56060 | + | 1.13384i | 0.108469 | + | 0.0788074i | ||||
\(208\) | 3.16981 | 0.219787 | ||||||||
\(209\) | 8.28519 | − | 11.8346i | 0.573099 | − | 0.818616i | ||||
\(210\) | −4.90772 | −0.338665 | ||||||||
\(211\) | −13.8212 | − | 10.0417i | −0.951494 | − | 0.691301i | −0.000334297 | − | 1.00000i | \(-0.500106\pi\) |
−0.951160 | + | 0.308699i | \(0.900106\pi\) | |||||||
\(212\) | −0.801768 | + | 2.46759i | −0.0550657 | + | 0.169475i | ||||
\(213\) | −8.30080 | − | 25.5472i | −0.568761 | − | 1.75047i | ||||
\(214\) | 10.5247 | − | 7.64666i | 0.719455 | − | 0.522715i | ||||
\(215\) | −1.47599 | + | 1.07237i | −0.100662 | + | 0.0731351i | ||||
\(216\) | 4.05755 | + | 12.4878i | 0.276081 | + | 0.849690i | ||||
\(217\) | −1.40135 | + | 4.31291i | −0.0951298 | + | 0.292779i | ||||
\(218\) | 14.2071 | + | 10.3221i | 0.962227 | + | 0.699099i | ||||
\(219\) | 24.5123 | 1.65639 | ||||||||
\(220\) | 1.86479 | + | 2.47423i | 0.125724 | + | 0.166813i | ||||
\(221\) | 2.58684 | 0.174010 | ||||||||
\(222\) | −17.4691 | − | 12.6920i | −1.17245 | − | 0.851833i | ||||
\(223\) | 1.67632 | − | 5.15917i | 0.112254 | − | 0.345484i | −0.879110 | − | 0.476619i | \(-0.841862\pi\) |
0.991365 | + | 0.131135i | \(0.0418622\pi\) | |||||||
\(224\) | 0.453929 | + | 1.39705i | 0.0303294 | + | 0.0933443i | ||||
\(225\) | −1.22975 | + | 0.893468i | −0.0819836 | + | 0.0595646i | ||||
\(226\) | 16.6338 | − | 12.0852i | 1.10647 | − | 0.803894i | ||||
\(227\) | −8.60379 | − | 26.4798i | −0.571054 | − | 1.75752i | −0.649239 | − | 0.760584i | \(-0.724913\pi\) |
0.0781852 | − | 0.996939i | \(-0.475087\pi\) | |||||||
\(228\) | 0.920499 | − | 2.83300i | 0.0609615 | − | 0.187620i | ||||
\(229\) | −9.93587 | − | 7.21883i | −0.656581 | − | 0.477034i | 0.208926 | − | 0.977932i | \(-0.433003\pi\) |
−0.865507 | + | 0.500898i | \(0.833003\pi\) | |||||||
\(230\) | 8.66449 | 0.571320 | ||||||||
\(231\) | −4.58117 | − | 1.40018i | −0.301419 | − | 0.0921252i | ||||
\(232\) | 5.79546 | 0.380490 | ||||||||
\(233\) | 4.16123 | + | 3.02331i | 0.272611 | + | 0.198064i | 0.715688 | − | 0.698420i | \(-0.246113\pi\) |
−0.443077 | + | 0.896484i | \(0.646113\pi\) | |||||||
\(234\) | −0.300018 | + | 0.923360i | −0.0196128 | + | 0.0603619i | ||||
\(235\) | 5.27647 | + | 16.2393i | 0.344199 | + | 1.05934i | ||||
\(236\) | −0.348303 | + | 0.253057i | −0.0226726 | + | 0.0164726i | ||||
\(237\) | −12.8754 | + | 9.35452i | −0.836346 | + | 0.607641i | ||||
\(238\) | −0.764542 | − | 2.35302i | −0.0495579 | − | 0.152524i | ||||
\(239\) | −5.30051 | + | 16.3133i | −0.342862 | + | 1.05522i | 0.619857 | + | 0.784715i | \(0.287191\pi\) |
−0.962719 | + | 0.270505i | \(0.912809\pi\) | |||||||
\(240\) | −13.1590 | − | 9.56055i | −0.849407 | − | 0.617131i | ||||
\(241\) | 8.51862 | 0.548733 | 0.274366 | − | 0.961625i | \(-0.411532\pi\) | ||||
0.274366 | + | 0.961625i | \(0.411532\pi\) | |||||||
\(242\) | −4.83073 | − | 13.2654i | −0.310531 | − | 0.852730i | ||||
\(243\) | −7.68796 | −0.493183 | ||||||||
\(244\) | −0.539140 | − | 0.391708i | −0.0345149 | − | 0.0250766i | ||||
\(245\) | 5.27256 | − | 16.2273i | 0.336852 | − | 1.03672i | ||||
\(246\) | 7.74052 | + | 23.8229i | 0.493517 | + | 1.51889i | ||||
\(247\) | −3.52391 | + | 2.56027i | −0.224221 | + | 0.162906i | ||||
\(248\) | −14.8662 | + | 10.8009i | −0.944005 | + | 0.685860i | ||||
\(249\) | 9.19092 | + | 28.2867i | 0.582451 | + | 1.79260i | ||||
\(250\) | 3.14015 | − | 9.66438i | 0.198600 | − | 0.611229i | ||||
\(251\) | 16.9379 | + | 12.3061i | 1.06911 | + | 0.776756i | 0.975753 | − | 0.218877i | \(-0.0702392\pi\) |
0.0933601 | + | 0.995632i | \(0.470239\pi\) | |||||||
\(252\) | −0.198913 | −0.0125303 | ||||||||
\(253\) | 8.08797 | + | 2.47200i | 0.508487 | + | 0.155413i | ||||
\(254\) | −13.3091 | −0.835087 | ||||||||
\(255\) | −10.7389 | − | 7.80223i | −0.672493 | − | 0.488595i | ||||
\(256\) | −2.53060 | + | 7.78838i | −0.158162 | + | 0.486774i | ||||
\(257\) | 2.52391 | + | 7.76780i | 0.157437 | + | 0.484542i | 0.998400 | − | 0.0565514i | \(-0.0180105\pi\) |
−0.840962 | + | 0.541094i | \(0.818010\pi\) | |||||||
\(258\) | 1.38676 | − | 1.00754i | 0.0863360 | − | 0.0627268i | ||||
\(259\) | −5.23352 | + | 3.80238i | −0.325195 | + | 0.236268i | ||||
\(260\) | −0.288672 | − | 0.888443i | −0.0179027 | − | 0.0550989i | ||||
\(261\) | −0.448649 | + | 1.38080i | −0.0277707 | + | 0.0854694i | ||||
\(262\) | 6.18601 | + | 4.49440i | 0.382173 | + | 0.277665i | ||||
\(263\) | 17.8103 | 1.09823 | 0.549115 | − | 0.835747i | \(-0.314965\pi\) | ||||
0.549115 | + | 0.835747i | \(0.314965\pi\) | |||||||
\(264\) | −11.6831 | − | 15.5013i | −0.719047 | − | 0.954040i | ||||
\(265\) | −19.4681 | −1.19592 | ||||||||
\(266\) | 3.37034 | + | 2.44870i | 0.206649 | + | 0.150139i | ||||
\(267\) | −3.72650 | + | 11.4690i | −0.228058 | + | 0.701890i | ||||
\(268\) | 1.22250 | + | 3.76247i | 0.0746761 | + | 0.229829i | ||||
\(269\) | 23.6906 | − | 17.2123i | 1.44444 | − | 1.04945i | 0.457353 | − | 0.889285i | \(-0.348798\pi\) |
0.987090 | − | 0.160164i | \(-0.0512024\pi\) | |||||||
\(270\) | −11.9532 | + | 8.68453i | −0.727451 | + | 0.528524i | ||||
\(271\) | −7.45600 | − | 22.9472i | −0.452920 | − | 1.39394i | −0.873560 | − | 0.486716i | \(-0.838195\pi\) |
0.420641 | − | 0.907227i | \(-0.361805\pi\) | |||||||
\(272\) | 2.53388 | − | 7.79847i | 0.153639 | − | 0.472852i | ||||
\(273\) | 1.16850 | + | 0.848968i | 0.0707211 | + | 0.0513819i | ||||
\(274\) | −6.09844 | −0.368420 | ||||||||
\(275\) | −3.82207 | + | 5.45946i | −0.230479 | + | 0.329218i | ||||
\(276\) | 1.74385 | 0.104968 | ||||||||
\(277\) | 3.74192 | + | 2.71867i | 0.224830 | + | 0.163349i | 0.694498 | − | 0.719494i | \(-0.255626\pi\) |
−0.469668 | + | 0.882843i | \(0.655626\pi\) | |||||||
\(278\) | 1.08750 | − | 3.34697i | 0.0652237 | − | 0.200738i | ||||
\(279\) | −1.42253 | − | 4.37810i | −0.0851647 | − | 0.262110i | ||||
\(280\) | −4.81992 | + | 3.50188i | −0.288046 | + | 0.209277i | ||||
\(281\) | −6.23511 | + | 4.53007i | −0.371955 | + | 0.270241i | −0.758021 | − | 0.652230i | \(-0.773834\pi\) |
0.386066 | + | 0.922471i | \(0.373834\pi\) | |||||||
\(282\) | −4.95749 | − | 15.2576i | −0.295214 | − | 0.908576i | ||||
\(283\) | −5.70086 | + | 17.5454i | −0.338881 | + | 1.04297i | 0.625897 | + | 0.779905i | \(0.284733\pi\) |
−0.964779 | + | 0.263063i | \(0.915267\pi\) | |||||||
\(284\) | −3.95629 | − | 2.87441i | −0.234762 | − | 0.170565i | ||||
\(285\) | 22.3510 | 1.32396 | ||||||||
\(286\) | 0.0746464 | + | 4.25595i | 0.00441394 | + | 0.251660i | ||||
\(287\) | 7.50433 | 0.442966 | ||||||||
\(288\) | −1.20636 | − | 0.876475i | −0.0710857 | − | 0.0516468i | ||||
\(289\) | −3.18543 | + | 9.80373i | −0.187378 | + | 0.576690i | ||||
\(290\) | 2.01519 | + | 6.20213i | 0.118336 | + | 0.364201i | ||||
\(291\) | 5.76874 | − | 4.19124i | 0.338170 | − | 0.245695i | ||||
\(292\) | 3.61022 | − | 2.62298i | 0.211272 | − | 0.153498i | ||||
\(293\) | −7.19342 | − | 22.1391i | −0.420244 | − | 1.29338i | −0.907475 | − | 0.420106i | \(-0.861993\pi\) |
0.487231 | − | 0.873273i | \(-0.338007\pi\) | |||||||
\(294\) | −4.95382 | + | 15.2463i | −0.288912 | + | 0.889181i | ||||
\(295\) | −2.61345 | − | 1.89878i | −0.152161 | − | 0.110551i | ||||
\(296\) | −26.2129 | −1.52359 | ||||||||
\(297\) | −13.6356 | + | 4.69640i | −0.791218 | + | 0.272513i | ||||
\(298\) | 19.9677 | 1.15670 | ||||||||
\(299\) | −2.06297 | − | 1.49884i | −0.119305 | − | 0.0866800i | ||||
\(300\) | −0.424638 | + | 1.30690i | −0.0245165 | + | 0.0754540i | ||||
\(301\) | −0.158690 | − | 0.488399i | −0.00914676 | − | 0.0281508i | ||||
\(302\) | −19.3482 | + | 14.0573i | −1.11336 | + | 0.808907i | ||||
\(303\) | 12.4433 | − | 9.04060i | 0.714850 | − | 0.519369i | ||||
\(304\) | 4.26661 | + | 13.1313i | 0.244707 | + | 0.753130i | ||||
\(305\) | 1.54520 | − | 4.75562i | 0.0884776 | − | 0.272306i | ||||
\(306\) | 2.03185 | + | 1.47623i | 0.116153 | + | 0.0843903i | ||||
\(307\) | 10.0454 | 0.573324 | 0.286662 | − | 0.958032i | \(-0.407454\pi\) | ||||
0.286662 | + | 0.958032i | \(0.407454\pi\) | |||||||
\(308\) | −0.824554 | + | 0.283994i | −0.0469833 | + | 0.0161821i | ||||
\(309\) | 21.1286 | 1.20197 | ||||||||
\(310\) | −16.7281 | − | 12.1537i | −0.950093 | − | 0.690283i | ||||
\(311\) | −1.07355 | + | 3.30406i | −0.0608756 | + | 0.187356i | −0.976869 | − | 0.213836i | \(-0.931404\pi\) |
0.915994 | + | 0.401192i | \(0.131404\pi\) | |||||||
\(312\) | 1.80856 | + | 5.56618i | 0.102390 | + | 0.315123i | ||||
\(313\) | 9.71731 | − | 7.06004i | 0.549255 | − | 0.399057i | −0.278256 | − | 0.960507i | \(-0.589756\pi\) |
0.827511 | + | 0.561450i | \(0.189756\pi\) | |||||||
\(314\) | −16.0174 | + | 11.6373i | −0.903913 | + | 0.656731i | ||||
\(315\) | −0.461213 | − | 1.41947i | −0.0259864 | − | 0.0799780i | ||||
\(316\) | −0.895319 | + | 2.75551i | −0.0503656 | + | 0.155009i | ||||
\(317\) | 8.93176 | + | 6.48930i | 0.501658 | + | 0.364476i | 0.809650 | − | 0.586913i | \(-0.199657\pi\) |
−0.307992 | + | 0.951389i | \(0.599657\pi\) | |||||||
\(318\) | 18.2912 | 1.02572 | ||||||||
\(319\) | 0.111627 | + | 6.36439i | 0.00624991 | + | 0.356337i | ||||
\(320\) | −23.4821 | −1.31269 | ||||||||
\(321\) | 15.8940 | + | 11.5477i | 0.887118 | + | 0.644529i | ||||
\(322\) | −0.753646 | + | 2.31949i | −0.0419991 | + | 0.129260i | ||||
\(323\) | 3.48192 | + | 10.7163i | 0.193739 | + | 0.596268i | ||||
\(324\) | −3.05358 | + | 2.21856i | −0.169644 | + | 0.123253i | ||||
\(325\) | 1.62563 | − | 1.18109i | 0.0901735 | − | 0.0655149i | ||||
\(326\) | 3.56754 | + | 10.9798i | 0.197588 | + | 0.608112i | ||||
\(327\) | −8.19509 | + | 25.2219i | −0.453190 | + | 1.39477i | ||||
\(328\) | 24.6007 | + | 17.8735i | 1.35835 | + | 0.986898i | ||||
\(329\) | −4.80622 | −0.264975 | ||||||||
\(330\) | 12.5266 | − | 17.8930i | 0.689567 | − | 0.984980i | ||||
\(331\) | 14.7379 | 0.810071 | 0.405035 | − | 0.914301i | \(-0.367259\pi\) | ||||
0.405035 | + | 0.914301i | \(0.367259\pi\) | |||||||
\(332\) | 4.38053 | + | 3.18264i | 0.240413 | + | 0.174670i | ||||
\(333\) | 2.02924 | − | 6.24537i | 0.111202 | − | 0.342244i | ||||
\(334\) | 5.14465 | + | 15.8336i | 0.281503 | + | 0.866376i | ||||
\(335\) | −24.0149 | + | 17.4479i | −1.31208 | + | 0.953278i | ||||
\(336\) | 3.70394 | − | 2.69107i | 0.202066 | − | 0.146810i | ||||
\(337\) | −8.65051 | − | 26.6235i | −0.471224 | − | 1.45028i | −0.850984 | − | 0.525192i | \(-0.823994\pi\) |
0.379760 | − | 0.925085i | \(-0.376006\pi\) | |||||||
\(338\) | 0.396597 | − | 1.22060i | 0.0215720 | − | 0.0663919i | ||||
\(339\) | 25.1197 | + | 18.2506i | 1.36432 | + | 0.991234i | ||||
\(340\) | −2.41653 | −0.131055 | ||||||||
\(341\) | −12.1476 | − | 16.1176i | −0.657828 | − | 0.872815i | ||||
\(342\) | −4.22894 | −0.228675 | ||||||||
\(343\) | 8.10568 | + | 5.88912i | 0.437665 | + | 0.317983i | ||||
\(344\) | 0.643027 | − | 1.97903i | 0.0346697 | − | 0.106702i | ||||
\(345\) | 4.04342 | + | 12.4444i | 0.217690 | + | 0.669982i | ||||
\(346\) | 0.276471 | − | 0.200868i | 0.0148632 | − | 0.0107987i | ||||
\(347\) | 15.3441 | − | 11.1481i | 0.823714 | − | 0.598463i | −0.0940603 | − | 0.995567i | \(-0.529985\pi\) |
0.917774 | + | 0.397104i | \(0.129985\pi\) | |||||||
\(348\) | 0.405586 | + | 1.24827i | 0.0217417 | + | 0.0669141i | ||||
\(349\) | 0.574029 | − | 1.76668i | 0.0307271 | − | 0.0945681i | −0.934517 | − | 0.355919i | \(-0.884168\pi\) |
0.965244 | + | 0.261351i | \(0.0841679\pi\) | |||||||
\(350\) | −1.55478 | − | 1.12962i | −0.0831067 | − | 0.0603805i | ||||
\(351\) | 4.34831 | 0.232096 | ||||||||
\(352\) | −6.25212 | − | 1.91089i | −0.333239 | − | 0.101851i | ||||
\(353\) | −34.2457 | −1.82272 | −0.911358 | − | 0.411615i | \(-0.864965\pi\) | ||||
−0.911358 | + | 0.411615i | \(0.864965\pi\) | |||||||
\(354\) | 2.45546 | + | 1.78399i | 0.130506 | + | 0.0948182i | ||||
\(355\) | 11.3389 | − | 34.8974i | 0.601804 | − | 1.85216i | ||||
\(356\) | 0.678411 | + | 2.08794i | 0.0359557 | + | 0.110660i | ||||
\(357\) | 3.02273 | − | 2.19614i | 0.159980 | − | 0.116232i | ||||
\(358\) | 16.0547 | − | 11.6644i | 0.848519 | − | 0.616485i | ||||
\(359\) | 0.606925 | + | 1.86792i | 0.0320323 | + | 0.0985852i | 0.965794 | − | 0.259309i | \(-0.0834948\pi\) |
−0.933762 | + | 0.357894i | \(0.883495\pi\) | |||||||
\(360\) | 1.86888 | − | 5.75181i | 0.0984984 | − | 0.303147i | ||||
\(361\) | 0.0219053 | + | 0.0159151i | 0.00115291 | + | 0.000837639i | ||||
\(362\) | 18.2442 | 0.958894 | ||||||||
\(363\) | 16.7980 | − | 13.1286i | 0.881668 | − | 0.689073i | ||||
\(364\) | 0.262945 | 0.0137821 | ||||||||
\(365\) | 27.0888 | + | 19.6812i | 1.41789 | + | 1.03016i | ||||
\(366\) | −1.45178 | + | 4.46812i | −0.0758858 | + | 0.233553i | ||||
\(367\) | 6.79332 | + | 20.9077i | 0.354609 | + | 1.09137i | 0.956236 | + | 0.292596i | \(0.0945191\pi\) |
−0.601628 | + | 0.798777i | \(0.705481\pi\) | |||||||
\(368\) | −6.53924 | + | 4.75103i | −0.340881 | + | 0.247665i | ||||
\(369\) | −6.16290 | + | 4.47761i | −0.320828 | + | 0.233095i | ||||
\(370\) | −9.11474 | − | 28.0523i | −0.473853 | − | 1.45837i | ||||
\(371\) | 1.69335 | − | 5.21161i | 0.0879146 | − | 0.270573i | ||||
\(372\) | −3.36677 | − | 2.44610i | −0.174559 | − | 0.126824i | ||||
\(373\) | −13.3238 | −0.689881 | −0.344941 | − | 0.938624i | \(-0.612101\pi\) | ||||
−0.344941 | + | 0.938624i | \(0.612101\pi\) | |||||||
\(374\) | 10.5303 | + | 3.21847i | 0.544509 | + | 0.166423i | ||||
\(375\) | 15.3459 | 0.792457 | ||||||||
\(376\) | −15.7558 | − | 11.4472i | −0.812542 | − | 0.590346i | ||||
\(377\) | 0.593075 | − | 1.82530i | 0.0305449 | − | 0.0940076i | ||||
\(378\) | −1.28515 | − | 3.95527i | −0.0661007 | − | 0.203437i | ||||
\(379\) | 14.7529 | − | 10.7186i | 0.757805 | − | 0.550577i | −0.140431 | − | 0.990090i | \(-0.544849\pi\) |
0.898236 | + | 0.439513i | \(0.144849\pi\) | |||||||
\(380\) | 3.29191 | − | 2.39171i | 0.168871 | − | 0.122692i | ||||
\(381\) | −6.21090 | − | 19.1152i | −0.318194 | − | 0.979300i | ||||
\(382\) | −6.42970 | + | 19.7886i | −0.328972 | + | 1.01247i | ||||
\(383\) | −13.4422 | − | 9.76635i | −0.686866 | − | 0.499037i | 0.188763 | − | 0.982023i | \(-0.439552\pi\) |
−0.875628 | + | 0.482986i | \(0.839552\pi\) | |||||||
\(384\) | 14.4216 | 0.735949 | ||||||||
\(385\) | −3.93849 | − | 5.22564i | −0.200724 | − | 0.266323i | ||||
\(386\) | 14.3928 | 0.732572 | ||||||||
\(387\) | 0.421737 | + | 0.306410i | 0.0214381 | + | 0.0155757i | ||||
\(388\) | 0.401142 | − | 1.23459i | 0.0203649 | − | 0.0626768i | ||||
\(389\) | −10.9189 | − | 33.6049i | −0.553609 | − | 1.70383i | −0.699588 | − | 0.714547i | \(-0.746633\pi\) |
0.145978 | − | 0.989288i | \(-0.453367\pi\) | |||||||
\(390\) | −5.32789 | + | 3.87094i | −0.269788 | + | 0.196013i | ||||
\(391\) | −5.33658 | + | 3.87725i | −0.269883 | + | 0.196081i | ||||
\(392\) | 6.01371 | + | 18.5083i | 0.303738 | + | 0.934810i | ||||
\(393\) | −3.56828 | + | 10.9820i | −0.179996 | + | 0.553970i | ||||
\(394\) | −16.4663 | − | 11.9635i | −0.829562 | − | 0.602712i | ||||
\(395\) | −21.7396 | −1.09384 | ||||||||
\(396\) | 0.507710 | − | 0.725215i | 0.0255134 | − | 0.0364434i | ||||
\(397\) | −25.4379 | −1.27669 | −0.638345 | − | 0.769750i | \(-0.720381\pi\) | ||||
−0.638345 | + | 0.769750i | \(0.720381\pi\) | |||||||
\(398\) | −7.40029 | − | 5.37662i | −0.370943 | − | 0.269506i | ||||
\(399\) | −1.94412 | + | 5.98337i | −0.0973275 | + | 0.299543i | ||||
\(400\) | −1.96824 | − | 6.05763i | −0.0984122 | − | 0.302882i | ||||
\(401\) | −29.4272 | + | 21.3801i | −1.46953 | + | 1.06767i | −0.488774 | + | 0.872410i | \(0.662556\pi\) |
−0.980751 | + | 0.195262i | \(0.937444\pi\) | |||||||
\(402\) | 22.5631 | − | 16.3931i | 1.12535 | − | 0.817612i | ||||
\(403\) | 1.88046 | + | 5.78746i | 0.0936724 | + | 0.288294i | ||||
\(404\) | 0.865274 | − | 2.66304i | 0.0430490 | − | 0.132491i | ||||
\(405\) | −22.9122 | − | 16.6467i | −1.13852 | − | 0.827181i | ||||
\(406\) | −1.83559 | −0.0910990 | ||||||||
\(407\) | −0.504890 | − | 28.7862i | −0.0250264 | − | 1.42688i | ||||
\(408\) | 15.1398 | 0.749533 | ||||||||
\(409\) | −6.87898 | − | 4.99787i | −0.340144 | − | 0.247129i | 0.404579 | − | 0.914503i | \(-0.367418\pi\) |
−0.744723 | + | 0.667374i | \(0.767418\pi\) | |||||||
\(410\) | −10.5735 | + | 32.5419i | −0.522189 | + | 1.60713i | ||||
\(411\) | −2.84593 | − | 8.75888i | −0.140379 | − | 0.432044i | ||||
\(412\) | 3.11187 | − | 2.26091i | 0.153311 | − | 0.111387i | ||||
\(413\) | 0.735625 | − | 0.534463i | 0.0361977 | − | 0.0262992i | ||||
\(414\) | −0.765038 | − | 2.35455i | −0.0375996 | − | 0.115720i | ||||
\(415\) | −12.5548 | + | 38.6396i | −0.616289 | + | 1.89674i | ||||
\(416\) | 1.59471 | + | 1.15862i | 0.0781870 | + | 0.0568062i | ||||
\(417\) | 5.31458 | 0.260256 | ||||||||
\(418\) | −17.5303 | + | 6.03780i | −0.857433 | + | 0.295319i | ||||
\(419\) | −15.9075 | −0.777132 | −0.388566 | − | 0.921421i | \(-0.627029\pi\) | ||||
−0.388566 | + | 0.921421i | \(0.627029\pi\) | |||||||
\(420\) | −1.09157 | − | 0.793075i | −0.0532634 | − | 0.0386981i | ||||
\(421\) | 10.7545 | − | 33.0991i | 0.524145 | − | 1.61315i | −0.241857 | − | 0.970312i | \(-0.577756\pi\) |
0.766001 | − | 0.642839i | \(-0.222244\pi\) | |||||||
\(422\) | 6.77547 | + | 20.8527i | 0.329825 | + | 1.01510i | ||||
\(423\) | 3.94709 | − | 2.86773i | 0.191914 | − | 0.139434i | ||||
\(424\) | 17.9639 | − | 13.0516i | 0.872406 | − | 0.633840i | ||||
\(425\) | −1.60626 | − | 4.94355i | −0.0779149 | − | 0.239797i | ||||
\(426\) | −10.6534 | + | 32.7877i | −0.516158 | + | 1.58857i | ||||
\(427\) | 1.13868 | + | 0.827298i | 0.0551045 | + | 0.0400357i | ||||
\(428\) | 3.57659 | 0.172881 | ||||||||
\(429\) | −6.07777 | + | 2.09332i | −0.293438 | + | 0.101066i | ||||
\(430\) | 2.34150 | 0.112917 | ||||||||
\(431\) | 12.2973 | + | 8.93453i | 0.592341 | + | 0.430361i | 0.843152 | − | 0.537675i | \(-0.180697\pi\) |
−0.250811 | + | 0.968036i | \(0.580697\pi\) | |||||||
\(432\) | 4.25928 | − | 13.1087i | 0.204925 | − | 0.630694i | ||||
\(433\) | −7.08150 | − | 21.7946i | −0.340315 | − | 1.04738i | −0.964044 | − | 0.265742i | \(-0.914383\pi\) |
0.623729 | − | 0.781641i | \(-0.285617\pi\) | |||||||
\(434\) | 4.70857 | − | 3.42098i | 0.226019 | − | 0.164212i | ||||
\(435\) | −7.96737 | + | 5.78864i | −0.382006 | + | 0.277544i | ||||
\(436\) | 1.49192 | + | 4.59167i | 0.0714501 | + | 0.219901i | ||||
\(437\) | 3.43230 | − | 10.5635i | 0.164189 | − | 0.505323i | ||||
\(438\) | −25.4512 | − | 18.4914i | −1.21611 | − | 0.883552i | ||||
\(439\) | −5.35977 | −0.255808 | −0.127904 | − | 0.991787i | \(-0.540825\pi\) | ||||
−0.127904 | + | 0.991787i | \(0.540825\pi\) | |||||||
\(440\) | −0.464989 | − | 26.5112i | −0.0221675 | − | 1.26387i | ||||
\(441\) | −4.87525 | −0.232155 | ||||||||
\(442\) | −2.68593 | − | 1.95144i | −0.127757 | − | 0.0928206i | ||||
\(443\) | −1.53432 | + | 4.72216i | −0.0728978 | + | 0.224356i | −0.980866 | − | 0.194682i | \(-0.937633\pi\) |
0.907969 | + | 0.419038i | \(0.137633\pi\) | |||||||
\(444\) | −1.83447 | − | 5.64592i | −0.0870601 | − | 0.267943i | ||||
\(445\) | −13.3268 | + | 9.68247i | −0.631750 | + | 0.458993i | ||||
\(446\) | −5.63247 | + | 4.09223i | −0.266705 | + | 0.193773i | ||||
\(447\) | 9.31824 | + | 28.6786i | 0.440738 | + | 1.35645i | ||||
\(448\) | 2.04250 | − | 6.28616i | 0.0964989 | − | 0.296993i | ||||
\(449\) | −15.2981 | − | 11.1147i | −0.721962 | − | 0.524536i | 0.165048 | − | 0.986285i | \(-0.447222\pi\) |
−0.887010 | + | 0.461749i | \(0.847222\pi\) | |||||||
\(450\) | 1.95087 | 0.0919648 | ||||||||
\(451\) | −19.1543 | + | 27.3600i | −0.901938 | + | 1.28833i | ||||
\(452\) | 5.65262 | 0.265877 | ||||||||
\(453\) | −29.2189 | − | 21.2288i | −1.37282 | − | 0.997415i | ||||
\(454\) | −11.0422 | + | 33.9845i | −0.518238 | + | 1.59497i | ||||
\(455\) | 0.609683 | + | 1.87641i | 0.0285824 | + | 0.0879676i | ||||
\(456\) | −20.6241 | + | 14.9843i | −0.965814 | + | 0.701705i | ||||
\(457\) | 14.2748 | − | 10.3712i | 0.667747 | − | 0.485146i | −0.201524 | − | 0.979484i | \(-0.564589\pi\) |
0.869270 | + | 0.494337i | \(0.164589\pi\) | |||||||
\(458\) | 4.87077 | + | 14.9907i | 0.227596 | + | 0.700470i | ||||
\(459\) | 3.47594 | − | 10.6978i | 0.162243 | − | 0.499333i | ||||
\(460\) | 1.92715 | + | 1.40016i | 0.0898541 | + | 0.0652828i | ||||
\(461\) | −4.51338 | −0.210209 | −0.105105 | − | 0.994461i | \(-0.533518\pi\) | ||||
−0.105105 | + | 0.994461i | \(0.533518\pi\) | |||||||
\(462\) | 3.70039 | + | 4.90973i | 0.172158 | + | 0.228421i | ||||
\(463\) | 31.7059 | 1.47350 | 0.736748 | − | 0.676167i | \(-0.236360\pi\) | ||||
0.736748 | + | 0.676167i | \(0.236360\pi\) | |||||||
\(464\) | −4.92174 | − | 3.57585i | −0.228486 | − | 0.166005i | ||||
\(465\) | 9.64928 | − | 29.6974i | 0.447475 | − | 1.37718i | ||||
\(466\) | −2.03992 | − | 6.27824i | −0.0944976 | − | 0.290834i | ||||
\(467\) | −4.13890 | + | 3.00708i | −0.191525 | + | 0.139151i | −0.679416 | − | 0.733754i | \(-0.737767\pi\) |
0.487890 | + | 0.872905i | \(0.337767\pi\) | |||||||
\(468\) | −0.215943 | + | 0.156891i | −0.00998195 | + | 0.00725231i | ||||
\(469\) | −2.58195 | − | 7.94643i | −0.119223 | − | 0.366932i | ||||
\(470\) | 6.77191 | − | 20.8418i | 0.312365 | − | 0.961360i | ||||
\(471\) | −24.1888 | − | 17.5742i | −1.11456 | − | 0.809776i | ||||
\(472\) | 3.68449 | 0.169592 | ||||||||
\(473\) | 2.18570 | + | 0.668034i | 0.100498 | + | 0.0307162i | ||||
\(474\) | 20.4254 | 0.938168 | ||||||||
\(475\) | 7.08089 | + | 5.14457i | 0.324893 | + | 0.236049i | ||||
\(476\) | 0.210192 | − | 0.646906i | 0.00963416 | − | 0.0296509i | ||||
\(477\) | 1.71895 | + | 5.29038i | 0.0787053 | + | 0.242230i | ||||
\(478\) | 17.8099 | − | 12.9396i | 0.814604 | − | 0.591844i | ||||
\(479\) | 28.9909 | − | 21.0631i | 1.32463 | − | 0.962399i | 0.324766 | − | 0.945794i | \(-0.394714\pi\) |
0.999862 | − | 0.0166044i | \(-0.00528560\pi\) | |||||||
\(480\) | −3.12562 | − | 9.61967i | −0.142664 | − | 0.439076i | ||||
\(481\) | −2.68248 | + | 8.25583i | −0.122311 | + | 0.376434i | ||||
\(482\) | −8.84493 | − | 6.42622i | −0.402875 | − | 0.292706i | ||||
\(483\) | −3.68306 | −0.167585 | ||||||||
\(484\) | 1.06920 | − | 3.73111i | 0.0486000 | − | 0.169596i | ||||
\(485\) | 9.74032 | 0.442285 | ||||||||
\(486\) | 7.98244 | + | 5.79959i | 0.362091 | + | 0.263075i | ||||
\(487\) | −9.24638 | + | 28.4574i | −0.418994 | + | 1.28953i | 0.489636 | + | 0.871927i | \(0.337130\pi\) |
−0.908630 | + | 0.417603i | \(0.862870\pi\) | |||||||
\(488\) | 1.76240 | + | 5.42410i | 0.0797800 | + | 0.245538i | ||||
\(489\) | −14.1048 | + | 10.2477i | −0.637841 | + | 0.463419i | ||||
\(490\) | −17.7160 | + | 12.8714i | −0.800325 | + | 0.581470i | ||||
\(491\) | 4.87992 | + | 15.0188i | 0.220228 | + | 0.677791i | 0.998741 | + | 0.0501630i | \(0.0159741\pi\) |
−0.778513 | + | 0.627628i | \(0.784026\pi\) | |||||||
\(492\) | −2.12807 | + | 6.54952i | −0.0959408 | + | 0.295275i | ||||
\(493\) | −4.01656 | − | 2.91820i | −0.180897 | − | 0.131429i | ||||
\(494\) | 5.59029 | 0.251519 | ||||||||
\(495\) | 6.35245 | + | 1.94155i | 0.285521 | + | 0.0872664i | ||||
\(496\) | 19.2893 | 0.866113 | ||||||||
\(497\) | 8.35577 | + | 6.07082i | 0.374808 | + | 0.272314i | ||||
\(498\) | 11.7958 | − | 36.3036i | 0.528581 | − | 1.62680i | ||||
\(499\) | −0.110286 | − | 0.339427i | −0.00493710 | − | 0.0151948i | 0.948558 | − | 0.316605i | \(-0.102543\pi\) |
−0.953495 | + | 0.301410i | \(0.902543\pi\) | |||||||
\(500\) | 2.26017 | − | 1.64211i | 0.101078 | − | 0.0734374i | ||||
\(501\) | −20.3401 | + | 14.7780i | −0.908731 | + | 0.660232i | ||||
\(502\) | −8.30333 | − | 25.5550i | −0.370596 | − | 1.14058i | ||||
\(503\) | 8.06456 | − | 24.8202i | 0.359581 | − | 1.10668i | −0.593724 | − | 0.804669i | \(-0.702343\pi\) |
0.953305 | − | 0.302008i | \(-0.0976570\pi\) | |||||||
\(504\) | 1.37720 | + | 1.00060i | 0.0613455 | + | 0.0445701i | ||||
\(505\) | 21.0101 | 0.934937 | ||||||||
\(506\) | −6.53298 | − | 8.66804i | −0.290426 | − | 0.385341i | ||||
\(507\) | 1.93816 | 0.0860769 | ||||||||
\(508\) | −2.96021 | − | 2.15072i | −0.131338 | − | 0.0954226i | ||||
\(509\) | 2.99062 | − | 9.20418i | 0.132557 | − | 0.407968i | −0.862645 | − | 0.505810i | \(-0.831194\pi\) |
0.995202 | + | 0.0978414i | \(0.0311938\pi\) | |||||||
\(510\) | 5.26441 | + | 16.2022i | 0.233112 | + | 0.717445i | ||||
\(511\) | −7.62487 | + | 5.53979i | −0.337304 | + | 0.245066i | ||||
\(512\) | 20.5424 | − | 14.9250i | 0.907856 | − | 0.659596i | ||||
\(513\) | 5.85288 | + | 18.0133i | 0.258411 | + | 0.795308i | ||||
\(514\) | 3.23923 | − | 9.96932i | 0.142876 | − | 0.439728i | ||||
\(515\) | 23.3496 | + | 16.9645i | 1.02890 | + | 0.747543i | ||||
\(516\) | 0.471259 | 0.0207460 | ||||||||
\(517\) | 12.2675 | − | 17.5230i | 0.539525 | − | 0.770660i | ||||
\(518\) | 8.30241 | 0.364787 | ||||||||
\(519\) | 0.417516 | + | 0.303343i | 0.0183269 | + | 0.0133153i | ||||
\(520\) | −2.47049 | + | 7.60338i | −0.108338 | + | 0.333430i | ||||
\(521\) | 6.69927 | + | 20.6182i | 0.293500 | + | 0.903301i | 0.983721 | + | 0.179702i | \(0.0575134\pi\) |
−0.690221 | + | 0.723599i | \(0.742487\pi\) | |||||||
\(522\) | 1.50747 | − | 1.09524i | 0.0659803 | − | 0.0479375i | ||||
\(523\) | 10.3796 | − | 7.54121i | 0.453868 | − | 0.329754i | −0.337253 | − | 0.941414i | \(-0.609498\pi\) |
0.791121 | + | 0.611660i | \(0.209498\pi\) | |||||||
\(524\) | 0.649608 | + | 1.99929i | 0.0283783 | + | 0.0873393i | ||||
\(525\) | 0.896846 | − | 2.76021i | 0.0391416 | − | 0.120465i | ||||
\(526\) | −18.4925 | − | 13.4356i | −0.806312 | − | 0.585820i | ||||
\(527\) | 15.7417 | 0.685719 | ||||||||
\(528\) | 0.357327 | + | 20.3729i | 0.0155507 | + | 0.886618i | ||||
\(529\) | −16.4976 | −0.717288 | ||||||||
\(530\) | 20.2138 | + | 14.6862i | 0.878032 | + | 0.637928i | ||||
\(531\) | −0.285231 | + | 0.877851i | −0.0123780 | + | 0.0380955i | ||||
\(532\) | 0.353928 | + | 1.08928i | 0.0153447 | + | 0.0472262i | ||||
\(533\) | 8.14681 | − | 5.91900i | 0.352877 | − | 0.256380i | ||||
\(534\) | 12.5211 | − | 9.09713i | 0.541842 | − | 0.393671i | ||||
\(535\) | 8.29293 | + | 25.5230i | 0.358535 | + | 1.10346i | ||||
\(536\) | 10.4623 | − | 32.1996i | 0.451902 | − | 1.39081i | ||||
\(537\) | 24.2452 | + | 17.6152i | 1.04626 | + | 0.760151i | ||||
\(538\) | −37.5826 | −1.62030 | ||||||||
\(539\) | −20.2094 | + | 6.96056i | −0.870480 | + | 0.299812i | ||||
\(540\) | −4.06203 | −0.174802 | ||||||||
\(541\) | 19.1997 | + | 13.9494i | 0.825458 | + | 0.599730i | 0.918271 | − | 0.395953i | \(-0.129586\pi\) |
−0.0928127 | + | 0.995684i | \(0.529586\pi\) | |||||||
\(542\) | −9.56915 | + | 29.4508i | −0.411030 | + | 1.26502i | ||||
\(543\) | 8.51394 | + | 26.2032i | 0.365368 | + | 1.12449i | ||||
\(544\) | 4.12526 | − | 2.99717i | 0.176869 | − | 0.128503i | ||||
\(545\) | −29.3075 | + | 21.2931i | −1.25539 | + | 0.912098i | ||||
\(546\) | −0.572825 | − | 1.76298i | −0.0245147 | − | 0.0754484i | ||||
\(547\) | −13.7601 | + | 42.3492i | −0.588339 | + | 1.81072i | −0.00291377 | + | 0.999996i | \(0.500927\pi\) |
−0.585425 | + | 0.810726i | \(0.699073\pi\) | |||||||
\(548\) | −1.35641 | − | 0.985493i | −0.0579431 | − | 0.0420982i | ||||
\(549\) | −1.42876 | −0.0609779 | ||||||||
\(550\) | 8.08694 | − | 2.78532i | 0.344828 | − | 0.118766i | ||||
\(551\) | 8.35977 | 0.356138 | ||||||||
\(552\) | −12.0738 | − | 8.77214i | −0.513896 | − | 0.373367i | ||||
\(553\) | 1.89093 | − | 5.81970i | 0.0804107 | − | 0.247479i | ||||
\(554\) | −1.83437 | − | 5.64561i | −0.0779349 | − | 0.239859i | ||||
\(555\) | 36.0365 | − | 26.1821i | 1.52966 | − | 1.11137i | ||||
\(556\) | 0.782743 | − | 0.568696i | 0.0331957 | − | 0.0241181i | ||||
\(557\) | −0.218495 | − | 0.672460i | −0.00925795 | − | 0.0284930i | 0.946321 | − | 0.323229i | \(-0.104768\pi\) |
−0.955579 | + | 0.294736i | \(0.904768\pi\) | |||||||
\(558\) | −1.82570 | + | 5.61892i | −0.0772880 | + | 0.237868i | ||||
\(559\) | −0.557499 | − | 0.405047i | −0.0235797 | − | 0.0171316i | ||||
\(560\) | 6.25397 | 0.264278 | ||||||||
\(561\) | 0.291610 | + | 16.6261i | 0.0123118 | + | 0.701953i | ||||
\(562\) | 9.89130 | 0.417239 | ||||||||
\(563\) | −16.6487 | − | 12.0960i | −0.701659 | − | 0.509785i | 0.178813 | − | 0.983883i | \(-0.442774\pi\) |
−0.880472 | + | 0.474098i | \(0.842774\pi\) | |||||||
\(564\) | 1.36294 | − | 4.19471i | 0.0573902 | − | 0.176629i | ||||
\(565\) | 13.1066 | + | 40.3379i | 0.551398 | + | 1.69703i | ||||
\(566\) | 19.1550 | − | 13.9170i | 0.805147 | − | 0.584973i | ||||
\(567\) | 6.44925 | − | 4.68565i | 0.270843 | − | 0.196779i | ||||
\(568\) | 12.9327 | + | 39.8028i | 0.542645 | + | 1.67009i | ||||
\(569\) | −9.77177 | + | 30.0744i | −0.409654 | + | 1.26078i | 0.507292 | + | 0.861774i | \(0.330646\pi\) |
−0.916946 | + | 0.399011i | \(0.869354\pi\) | |||||||
\(570\) | −23.2072 | − | 16.8610i | −0.972042 | − | 0.706230i | ||||
\(571\) | 10.0645 | 0.421184 | 0.210592 | − | 0.977574i | \(-0.432461\pi\) | ||||
0.210592 | + | 0.977574i | \(0.432461\pi\) | |||||||
\(572\) | −0.671148 | + | 0.958671i | −0.0280621 | + | 0.0400840i | ||||
\(573\) | −31.4218 | −1.31267 | ||||||||
\(574\) | −7.79178 | − | 5.66106i | −0.325223 | − | 0.236288i | ||||
\(575\) | −1.58337 | + | 4.87310i | −0.0660309 | + | 0.203222i | ||||
\(576\) | 2.07337 | + | 6.38117i | 0.0863904 | + | 0.265882i | ||||
\(577\) | −28.1851 | + | 20.4777i | −1.17336 | + | 0.852497i | −0.991408 | − | 0.130810i | \(-0.958242\pi\) |
−0.181954 | + | 0.983307i | \(0.558242\pi\) | |||||||
\(578\) | 10.7031 | − | 7.77627i | 0.445191 | − | 0.323450i | ||||
\(579\) | 6.71660 | + | 20.6716i | 0.279132 | + | 0.859081i | ||||
\(580\) | −0.554029 | + | 1.70513i | −0.0230048 | + | 0.0708015i | ||||
\(581\) | −9.25179 | − | 6.72182i | −0.383829 | − | 0.278868i | ||||
\(582\) | −9.15147 | −0.379341 | ||||||||
\(583\) | 14.6788 | + | 19.4760i | 0.607935 | + | 0.806615i | ||||
\(584\) | −38.1903 | −1.58033 | ||||||||
\(585\) | −1.62030 | − | 1.17722i | −0.0669911 | − | 0.0486719i | ||||
\(586\) | −9.23215 | + | 28.4136i | −0.381377 | + | 1.17376i | ||||
\(587\) | −6.19911 | − | 19.0789i | −0.255865 | − | 0.787471i | −0.993658 | − | 0.112444i | \(-0.964132\pi\) |
0.737793 | − | 0.675027i | \(-0.235868\pi\) | |||||||
\(588\) | −3.56559 | + | 2.59055i | −0.147042 | + | 0.106832i | ||||
\(589\) | −21.4440 | + | 15.5800i | −0.883586 | + | 0.641963i | ||||
\(590\) | 1.28117 | + | 3.94303i | 0.0527449 | + | 0.162332i | ||||
\(591\) | 9.49827 | − | 29.2327i | 0.390707 | − | 1.20247i | ||||
\(592\) | 22.2611 | + | 16.1736i | 0.914924 | + | 0.664731i | ||||
\(593\) | 22.9665 | 0.943120 | 0.471560 | − | 0.881834i | \(-0.343691\pi\) | ||||
0.471560 | + | 0.881834i | \(0.343691\pi\) | |||||||
\(594\) | 17.7007 | + | 5.41003i | 0.726271 | + | 0.221976i | ||||
\(595\) | 5.10378 | 0.209234 | ||||||||
\(596\) | 4.44121 | + | 3.22673i | 0.181919 | + | 0.132172i | ||||
\(597\) | 4.26871 | − | 13.1377i | 0.174707 | − | 0.537692i | ||||
\(598\) | 1.01131 | + | 3.11250i | 0.0413557 | + | 0.127280i | ||||
\(599\) | 4.88139 | − | 3.54654i | 0.199448 | − | 0.144908i | −0.483578 | − | 0.875301i | \(-0.660663\pi\) |
0.683027 | + | 0.730393i | \(0.260663\pi\) | |||||||
\(600\) | 9.51419 | − | 6.91246i | 0.388415 | − | 0.282200i | ||||
\(601\) | −9.05980 | − | 27.8832i | −0.369557 | − | 1.13738i | −0.947078 | − | 0.321004i | \(-0.895980\pi\) |
0.577521 | − | 0.816376i | \(-0.304020\pi\) | |||||||
\(602\) | −0.203666 | + | 0.626819i | −0.00830080 | + | 0.0255472i | ||||
\(603\) | 6.86181 | + | 4.98540i | 0.279434 | + | 0.203021i | ||||
\(604\) | −6.57505 | −0.267535 | ||||||||
\(605\) | 29.1049 | − | 1.02127i | 1.18328 | − | 0.0415206i | ||||
\(606\) | −19.7399 | −0.801880 | ||||||||
\(607\) | −28.3892 | − | 20.6259i | −1.15228 | − | 0.837181i | −0.163498 | − | 0.986544i | \(-0.552278\pi\) |
−0.988782 | + | 0.149363i | \(0.952278\pi\) | |||||||
\(608\) | −2.65322 | + | 8.16577i | −0.107602 | + | 0.331166i | ||||
\(609\) | −0.856608 | − | 2.63637i | −0.0347115 | − | 0.106831i | ||||
\(610\) | −5.19190 | + | 3.77213i | −0.210214 | + | 0.152729i | ||||
\(611\) | −5.21770 | + | 3.79088i | −0.211086 | + | 0.153363i | ||||
\(612\) | 0.213370 | + | 0.656684i | 0.00862496 | + | 0.0265449i | ||||
\(613\) | 9.41536 | − | 28.9775i | 0.380283 | − | 1.17039i | −0.559562 | − | 0.828789i | \(-0.689031\pi\) |
0.939845 | − | 0.341602i | \(-0.110969\pi\) | |||||||
\(614\) | −10.4302 | − | 7.57801i | −0.420930 | − | 0.305824i | ||||
\(615\) | −51.6726 | −2.08364 | ||||||||
\(616\) | 7.13750 | + | 2.18150i | 0.287578 | + | 0.0878950i | ||||
\(617\) | 16.9062 | 0.680616 | 0.340308 | − | 0.940314i | \(-0.389469\pi\) | ||||
0.340308 | + | 0.940314i | \(0.389469\pi\) | |||||||
\(618\) | −21.9380 | − | 15.9389i | −0.882475 | − | 0.641156i | ||||
\(619\) | 9.01796 | − | 27.7544i | 0.362462 | − | 1.11554i | −0.589092 | − | 0.808066i | \(-0.700515\pi\) |
0.951555 | − | 0.307479i | \(-0.0994854\pi\) | |||||||
\(620\) | −1.75666 | − | 5.40644i | −0.0705491 | − | 0.217128i | ||||
\(621\) | −8.97045 | + | 6.51741i | −0.359972 | + | 0.261535i | ||||
\(622\) | 3.60717 | − | 2.62076i | 0.144634 | − | 0.105083i | ||||
\(623\) | −1.43282 | − | 4.40977i | −0.0574048 | − | 0.176674i | ||||
\(624\) | 1.89848 | − | 5.84293i | 0.0760001 | − | 0.233904i | ||||
\(625\) | 25.0870 | + | 18.2268i | 1.00348 | + | 0.729072i | ||||
\(626\) | −15.4154 | −0.616125 | ||||||||
\(627\) | −16.8525 | − | 22.3602i | −0.673026 | − | 0.892979i | ||||
\(628\) | −5.44314 | −0.217205 | ||||||||
\(629\) | 18.1669 | + | 13.1991i | 0.724364 | + | 0.526281i | ||||
\(630\) | −0.591928 | + | 1.82177i | −0.0235830 | + | 0.0725810i | ||||
\(631\) | −2.43279 | − | 7.48736i | −0.0968478 | − | 0.298067i | 0.890883 | − | 0.454233i | \(-0.150087\pi\) |
−0.987731 | + | 0.156166i | \(0.950087\pi\) | |||||||
\(632\) | 20.0600 | − | 14.5744i | 0.797943 | − | 0.579739i | ||||
\(633\) | −26.7878 | + | 19.4625i | −1.06472 | + | 0.773565i | ||||
\(634\) | −4.37854 | − | 13.4758i | −0.173894 | − | 0.535190i | ||||
\(635\) | 8.48406 | − | 26.1112i | 0.336680 | − | 1.03619i | ||||
\(636\) | 4.06832 | + | 2.95580i | 0.161319 | + | 0.117205i | ||||
\(637\) | 6.44465 | 0.255346 | ||||||||
\(638\) | 4.68522 | − | 6.69238i | 0.185490 | − | 0.264954i | ||||
\(639\) | −10.4844 | −0.414757 | ||||||||
\(640\) | 15.9375 | + | 11.5793i | 0.629986 | + | 0.457711i | ||||
\(641\) | −7.91578 | + | 24.3623i | −0.312655 | + | 0.962252i | 0.664054 | + | 0.747684i | \(0.268834\pi\) |
−0.976709 | + | 0.214568i | \(0.931166\pi\) | |||||||
\(642\) | −7.79159 | − | 23.9800i | −0.307509 | − | 0.946417i | ||||
\(643\) | 10.4942 | − | 7.62450i | 0.413852 | − | 0.300681i | −0.361308 | − | 0.932447i | \(-0.617670\pi\) |
0.775159 | + | 0.631766i | \(0.217670\pi\) | |||||||
\(644\) | −0.542449 | + | 0.394112i | −0.0213755 | + | 0.0155302i | ||||
\(645\) | 1.09270 | + | 3.36297i | 0.0430248 | + | 0.132417i | ||||
\(646\) | 4.46875 | − | 13.7534i | 0.175821 | − | 0.541121i | ||||
\(647\) | 0.448971 | + | 0.326196i | 0.0176509 | + | 0.0128241i | 0.596576 | − | 0.802557i | \(-0.296528\pi\) |
−0.578925 | + | 0.815381i | \(0.696528\pi\) | |||||||
\(648\) | 32.3020 | 1.26894 | ||||||||
\(649\) | 0.0709674 | + | 4.04619i | 0.00278571 | + | 0.158827i | ||||
\(650\) | −2.57888 | −0.101152 | ||||||||
\(651\) | 7.11070 | + | 5.16622i | 0.278690 | + | 0.202480i | ||||
\(652\) | −0.980809 | + | 3.01862i | −0.0384114 | + | 0.118218i | ||||
\(653\) | 8.82697 | + | 27.1666i | 0.345426 | + | 1.06311i | 0.961355 | + | 0.275311i | \(0.0887807\pi\) |
−0.615929 | + | 0.787802i | \(0.711219\pi\) | |||||||
\(654\) | 27.5357 | − | 20.0059i | 1.07673 | − | 0.782291i | ||||
\(655\) | −12.7610 | + | 9.27138i | −0.498612 | + | 0.362263i | ||||
\(656\) | −9.86383 | − | 30.3578i | −0.385118 | − | 1.18527i | ||||
\(657\) | 2.95646 | − | 9.09906i | 0.115343 | − | 0.354988i | ||||
\(658\) | 4.99032 | + | 3.62568i | 0.194543 | + | 0.141344i | ||||
\(659\) | 0.281779 | 0.0109765 | 0.00548827 | − | 0.999985i | \(-0.498253\pi\) | ||||
0.00548827 | + | 0.999985i | \(0.498253\pi\) | |||||||
\(660\) | 5.67763 | − | 1.95550i | 0.221002 | − | 0.0761178i | ||||
\(661\) | −30.9061 | −1.20211 | −0.601053 | − | 0.799209i | \(-0.705252\pi\) | ||||
−0.601053 | + | 0.799209i | \(0.705252\pi\) | |||||||
\(662\) | −15.3025 | − | 11.1179i | −0.594748 | − | 0.432110i | ||||
\(663\) | 1.54933 | − | 4.76833i | 0.0601708 | − | 0.185187i | ||||
\(664\) | −14.3195 | − | 44.0710i | −0.555706 | − | 1.71029i | ||||
\(665\) | −6.95259 | + | 5.05135i | −0.269610 | + | 0.195883i | ||||
\(666\) | −6.81831 | + | 4.95380i | −0.264204 | + | 0.191956i | ||||
\(667\) | 1.51233 | + | 4.65446i | 0.0585575 | + | 0.180221i | ||||
\(668\) | −1.41440 | + | 4.35307i | −0.0547247 | + | 0.168425i | ||||
\(669\) | −8.50593 | − | 6.17992i | −0.328858 | − | 0.238930i | ||||
\(670\) | 38.0970 | 1.47182 | ||||||||
\(671\) | −5.92263 | + | 2.03988i | −0.228641 | + | 0.0787488i | ||||
\(672\) | 2.84706 | 0.109828 | ||||||||
\(673\) | −14.2303 | − | 10.3389i | −0.548538 | − | 0.398536i | 0.278708 | − | 0.960376i | \(-0.410094\pi\) |
−0.827246 | + | 0.561840i | \(0.810094\pi\) | |||||||
\(674\) | −11.1022 | + | 34.1691i | −0.427641 | + | 1.31614i | ||||
\(675\) | −2.70001 | − | 8.30979i | −0.103924 | − | 0.319844i | ||||
\(676\) | 0.285457 | − | 0.207397i | 0.0109791 | − | 0.00797680i | ||||
\(677\) | 18.8313 | − | 13.6817i | 0.723745 | − | 0.525832i | −0.163833 | − | 0.986488i | \(-0.552386\pi\) |
0.887579 | + | 0.460656i | \(0.152386\pi\) | |||||||
\(678\) | −12.3142 | − | 37.8993i | −0.472925 | − | 1.45551i | ||||
\(679\) | −0.847223 | + | 2.60748i | −0.0325134 | + | 0.100066i | ||||
\(680\) | 16.7312 | + | 12.1559i | 0.641613 | + | 0.466159i | ||||
\(681\) | −53.9633 | −2.06788 | ||||||||
\(682\) | 0.454246 | + | 25.8988i | 0.0173940 | + | 0.991714i | ||||
\(683\) | −14.7596 | −0.564759 | −0.282380 | − | 0.959303i | \(-0.591124\pi\) | ||||
−0.282380 | + | 0.959303i | \(0.591124\pi\) | |||||||
\(684\) | −0.940601 | − | 0.683386i | −0.0359648 | − | 0.0261299i | ||||
\(685\) | 3.88753 | − | 11.9646i | 0.148535 | − | 0.457143i | ||||
\(686\) | −3.97357 | − | 12.2294i | −0.151712 | − | 0.466921i | ||||
\(687\) | −19.2573 | + | 13.9913i | −0.734714 | + | 0.533801i | ||||
\(688\) | −1.76717 | + | 1.28392i | −0.0673726 | + | 0.0489491i | ||||
\(689\) | −2.27230 | − | 6.99342i | −0.0865677 | − | 0.266428i | ||||
\(690\) | 5.18939 | − | 15.9713i | 0.197557 | − | 0.608017i | ||||
\(691\) | 25.8574 | + | 18.7865i | 0.983662 | + | 0.714673i | 0.958524 | − | 0.285011i | \(-0.0919974\pi\) |
0.0251383 | + | 0.999684i | \(0.491997\pi\) | |||||||
\(692\) | 0.0939524 | 0.00357153 | ||||||||
\(693\) | −1.07230 | + | 1.53167i | −0.0407332 | + | 0.0581834i | ||||
\(694\) | −24.3417 | −0.923998 | ||||||||
\(695\) | 5.87321 | + | 4.26714i | 0.222784 | + | 0.161862i | ||||
\(696\) | 3.47105 | − | 10.6828i | 0.131570 | − | 0.404930i | ||||
\(697\) | −8.04974 | − | 24.7746i | −0.304906 | − | 0.938403i | ||||
\(698\) | −1.92875 | + | 1.40132i | −0.0730043 | + | 0.0530407i | ||||
\(699\) | 8.06514 | − | 5.85967i | 0.305052 | − | 0.221633i | ||||
\(700\) | −0.163272 | − | 0.502498i | −0.00617108 | − | 0.0189926i | ||||
\(701\) | 1.94530 | − | 5.98702i | 0.0734730 | − | 0.226127i | −0.907576 | − | 0.419889i | \(-0.862069\pi\) |
0.981049 | + | 0.193762i | \(0.0620690\pi\) | |||||||
\(702\) | −4.51487 | − | 3.28025i | −0.170403 | − | 0.123805i | ||||
\(703\) | −37.8113 | −1.42608 | ||||||||
\(704\) | 17.7054 | + | 23.4917i | 0.667296 | + | 0.885376i | ||||
\(705\) | 33.0942 | 1.24640 | ||||||||
\(706\) | 35.5575 | + | 25.8340i | 1.33822 | + | 0.972277i | ||||
\(707\) | −1.82748 | + | 5.62440i | −0.0687294 | + | 0.211527i | ||||
\(708\) | 0.257853 | + | 0.793591i | 0.00969072 | + | 0.0298250i | ||||
\(709\) | 10.2977 | − | 7.48169i | 0.386737 | − | 0.280981i | −0.377380 | − | 0.926058i | \(-0.623175\pi\) |
0.764117 | + | 0.645078i | \(0.223175\pi\) | |||||||
\(710\) | −38.0988 | + | 27.6804i | −1.42982 | + | 1.03883i | ||||
\(711\) | 1.91952 | + | 5.90767i | 0.0719875 | + | 0.221555i | ||||
\(712\) | 5.80591 | − | 17.8688i | 0.217586 | − | 0.669660i | ||||
\(713\) | −12.5538 | − | 9.12088i | −0.470144 | − | 0.341580i | ||||
\(714\) | −4.79523 | −0.179457 | ||||||||
\(715\) | −8.39738 | − | 2.56656i | −0.314044 | − | 0.0959840i | ||||
\(716\) | 5.45583 | 0.203894 | ||||||||
\(717\) | 26.8957 | + | 19.5409i | 1.00444 | + | 0.729768i | ||||
\(718\) | 0.778937 | − | 2.39732i | 0.0290697 | − | 0.0894673i | ||||
\(719\) | −5.02037 | − | 15.4511i | −0.187228 | − | 0.576229i | 0.812751 | − | 0.582611i | \(-0.197969\pi\) |
−0.999980 | + | 0.00638149i | \(0.997969\pi\) | |||||||
\(720\) | −5.13604 | + | 3.73155i | −0.191409 | + | 0.139067i | ||||
\(721\) | −6.57235 | + | 4.77509i | −0.244767 | + | 0.177834i | ||||
\(722\) | −0.0107385 | − | 0.0330496i | −0.000399644 | − | 0.00122998i | ||||
\(723\) | 5.10202 | − | 15.7024i | 0.189746 | − | 0.583979i | ||||
\(724\) | 4.05787 | + | 2.94822i | 0.150810 | + | 0.109570i | ||||
\(725\) | −3.85647 | −0.143226 | ||||||||
\(726\) | −27.3453 | + | 0.959532i | −1.01488 | + | 0.0356116i | ||||
\(727\) | 23.3476 | 0.865913 | 0.432957 | − | 0.901415i | \(-0.357470\pi\) | ||||
0.432957 | + | 0.901415i | \(0.357470\pi\) | |||||||
\(728\) | −1.82054 | − | 1.32270i | −0.0674737 | − | 0.0490225i | ||||
\(729\) | 5.31231 | − | 16.3496i | 0.196752 | − | 0.605542i | ||||
\(730\) | −13.2795 | − | 40.8702i | −0.491497 | − | 1.51267i | ||||
\(731\) | −1.44216 | + | 1.04779i | −0.0533402 | + | 0.0387539i | ||||
\(732\) | −1.04494 | + | 0.759195i | −0.0386222 | + | 0.0280607i | ||||
\(733\) | 10.3489 | + | 31.8506i | 0.382245 | + | 1.17643i | 0.938459 | + | 0.345390i | \(0.112253\pi\) |
−0.556214 | + | 0.831039i | \(0.687747\pi\) | |||||||
\(734\) | 8.71866 | − | 26.8333i | 0.321811 | − | 0.990434i | ||||
\(735\) | −26.7539 | − | 19.4379i | −0.986834 | − | 0.716977i | ||||
\(736\) | −5.02643 | −0.185277 | ||||||||
\(737\) | 35.5621 | + | 10.8691i | 1.30995 | + | 0.400370i | ||||
\(738\) | 9.77675 | 0.359887 | ||||||||
\(739\) | 20.6920 | + | 15.0336i | 0.761168 | + | 0.553021i | 0.899268 | − | 0.437397i | \(-0.144100\pi\) |
−0.138100 | + | 0.990418i | \(0.544100\pi\) | |||||||
\(740\) | 2.50588 | − | 7.71230i | 0.0921179 | − | 0.283510i | ||||
\(741\) | 2.60880 | + | 8.02905i | 0.0958365 | + | 0.294954i | ||||
\(742\) | −5.68971 | + | 4.13382i | −0.208876 | + | 0.151757i | ||||
\(743\) | −19.0569 | + | 13.8456i | −0.699130 | + | 0.507948i | −0.879649 | − | 0.475624i | \(-0.842222\pi\) |
0.180519 | + | 0.983572i | \(0.442222\pi\) | |||||||
\(744\) | 11.0056 | + | 33.8719i | 0.403486 | + | 1.24180i | ||||
\(745\) | −12.7287 | + | 39.1748i | −0.466343 | + | 1.43526i | ||||
\(746\) | 13.8342 | + | 10.0511i | 0.506506 | + | 0.367998i | ||||
\(747\) | 11.6087 | 0.424740 | ||||||||
\(748\) | 1.82205 | + | 2.41752i | 0.0666208 | + | 0.0883933i | ||||
\(749\) | −7.55384 | −0.276011 | ||||||||
\(750\) | −15.9337 | − | 11.5765i | −0.581816 | − | 0.422714i | ||||
\(751\) | 11.1965 | − | 34.4594i | 0.408568 | − | 1.25744i | −0.509311 | − | 0.860582i | \(-0.670100\pi\) |
0.917879 | − | 0.396860i | \(-0.129900\pi\) | |||||||
\(752\) | 6.31739 | + | 19.4429i | 0.230371 | + | 0.709010i | ||||
\(753\) | 32.8285 | − | 23.8513i | 1.19634 | − | 0.869189i | ||||
\(754\) | −1.99275 | + | 1.44782i | −0.0725715 | + | 0.0527263i | ||||
\(755\) | −15.2454 | − | 46.9205i | −0.554836 | − | 1.70761i | ||||
\(756\) | 0.353320 | − | 1.08741i | 0.0128501 | − | 0.0395486i | ||||
\(757\) | −7.82985 | − | 5.68872i | −0.284581 | − | 0.206760i | 0.436332 | − | 0.899786i | \(-0.356277\pi\) |
−0.720913 | + | 0.693026i | \(0.756277\pi\) | |||||||
\(758\) | −23.4038 | −0.850065 | ||||||||
\(759\) | 9.40074 | − | 13.4281i | 0.341225 | − | 0.487407i | ||||
\(760\) | −34.8231 | −1.26317 | ||||||||
\(761\) | −8.43607 | − | 6.12916i | −0.305807 | − | 0.222182i | 0.424288 | − | 0.905527i | \(-0.360524\pi\) |
−0.730095 | + | 0.683345i | \(0.760524\pi\) | |||||||
\(762\) | −7.97116 | + | 24.5327i | −0.288765 | + | 0.888726i | ||||
\(763\) | −3.15098 | − | 9.69771i | −0.114073 | − | 0.351081i | ||||
\(764\) | −4.62788 | + | 3.36235i | −0.167431 | + | 0.121645i | ||||
\(765\) | −4.19145 | + | 3.04527i | −0.151542 | + | 0.110102i | ||||
\(766\) | 6.58966 | + | 20.2809i | 0.238094 | + | 0.732779i | ||||
\(767\) | 0.377050 | − | 1.16044i | 0.0136145 | − | 0.0419011i | ||||
\(768\) | 12.8407 | + | 9.32932i | 0.463349 | + | 0.336643i | ||||
\(769\) | 2.00031 | 0.0721329 | 0.0360665 | − | 0.999349i | \(-0.488517\pi\) | ||||
0.0360665 | + | 0.999349i | \(0.488517\pi\) | |||||||
\(770\) | 0.147276 | + | 8.39690i | 0.00530745 | + | 0.302603i | ||||
\(771\) | 15.8301 | 0.570105 | ||||||||
\(772\) | 3.20123 | + | 2.32583i | 0.115215 | + | 0.0837085i | ||||
\(773\) | −2.75783 | + | 8.48772i | −0.0991921 | + | 0.305282i | −0.988324 | − | 0.152370i | \(-0.951309\pi\) |
0.889131 | + | 0.457652i | \(0.151309\pi\) | |||||||
\(774\) | −0.206744 | − | 0.636293i | −0.00743127 | − | 0.0228711i | ||||
\(775\) | 9.89242 | − | 7.18726i | 0.355346 | − | 0.258174i | ||||
\(776\) | −8.98776 | + | 6.52999i | −0.322642 | + | 0.234413i | ||||
\(777\) | 3.87445 | + | 11.9243i | 0.138995 | + | 0.427782i | ||||
\(778\) | −14.0135 | + | 43.1290i | −0.502407 | + | 1.54625i | ||||
\(779\) | 35.4858 | + | 25.7819i | 1.27141 | + | 0.923734i | ||||
\(780\) | −1.81056 | −0.0648285 | ||||||||
\(781\) | −43.4611 | + | 14.9689i | −1.55516 | + | 0.535631i | ||||
\(782\) | 8.46590 | 0.302740 | ||||||||
\(783\) | −6.75158 | − | 4.90531i | −0.241282 | − | 0.175301i | ||||
\(784\) | 6.31270 | − | 19.4285i | 0.225454 | − | 0.693875i | ||||
\(785\) | −12.6208 | − | 38.8430i | −0.450457 | − | 1.38637i | ||||
\(786\) | 11.9895 | − | 8.71089i | 0.427652 | − | 0.310707i | ||||
\(787\) | 1.99285 | − | 1.44789i | 0.0710373 | − | 0.0516117i | −0.551700 | − | 0.834043i | \(-0.686021\pi\) |
0.622737 | + | 0.782431i | \(0.286021\pi\) | |||||||
\(788\) | −1.72917 | − | 5.32183i | −0.0615991 | − | 0.189582i | ||||
\(789\) | 10.6670 | − | 32.8298i | 0.379757 | − | 1.16877i | ||||
\(790\) | 22.5724 | + | 16.3998i | 0.803089 | + | 0.583478i | ||||
\(791\) | −11.9385 | −0.424483 | ||||||||
\(792\) | −7.16328 | + | 2.46719i | −0.254536 | + | 0.0876677i | ||||
\(793\) | 1.88869 | 0.0670694 | ||||||||
\(794\) | 26.4123 | + | 19.1896i | 0.937336 | + | 0.681015i | ||||
\(795\) | −11.6599 | + | 35.8856i | −0.413535 | + | 1.27273i | ||||
\(796\) | −0.777122 | − | 2.39173i | −0.0275443 | − | 0.0847728i | ||||
\(797\) | −9.21279 | + | 6.69349i | −0.326334 | + | 0.237095i | −0.738873 | − | 0.673844i | \(-0.764642\pi\) |
0.412540 | + | 0.910940i | \(0.364642\pi\) | |||||||
\(798\) | 6.53228 | − | 4.74598i | 0.231240 | − | 0.168006i | ||||
\(799\) | 5.15553 | + | 15.8671i | 0.182390 | + | 0.561338i | ||||
\(800\) | 1.22396 | − | 3.76698i | 0.0432737 | − | 0.133183i | ||||
\(801\) | 3.80788 | + | 2.76658i | 0.134545 | + | 0.0977524i | ||||
\(802\) | 46.6830 | 1.64843 | ||||||||
\(803\) | −0.735588 | − | 41.9394i | −0.0259583 | − | 1.48001i | ||||
\(804\) | 7.66756 | 0.270414 | ||||||||
\(805\) | −4.07020 | − | 2.95717i | −0.143456 | − | 0.104227i | ||||
\(806\) | 2.41341 | − | 7.42772i | 0.0850088 | − | 0.261630i | ||||
\(807\) | −17.5385 | − | 53.9779i | −0.617384 | − | 1.90011i | ||||
\(808\) | −19.3868 | + | 14.0853i | −0.682025 | + | 0.495520i | ||||
\(809\) | 20.7755 | − | 15.0943i | 0.730428 | − | 0.530687i | −0.159271 | − | 0.987235i | \(-0.550914\pi\) |
0.889699 | + | 0.456548i | \(0.150914\pi\) | |||||||
\(810\) | 11.2320 | + | 34.5687i | 0.394654 | + | 1.21462i | ||||
\(811\) | 5.46529 | − | 16.8204i | 0.191912 | − | 0.590645i | −0.808087 | − | 0.589064i | \(-0.799497\pi\) |
0.999999 | − | 0.00158128i | \(-0.000503338\pi\) | |||||||
\(812\) | −0.408272 | − | 0.296627i | −0.0143275 | − | 0.0104096i | ||||
\(813\) | −46.7643 | −1.64009 | ||||||||
\(814\) | −21.1913 | + | 30.2697i | −0.742754 | + | 1.06095i | ||||
\(815\) | −23.8154 | −0.834219 | ||||||||
\(816\) | −12.8573 | − | 9.34141i | −0.450097 | − | 0.327015i | ||||
\(817\) | 0.927547 | − | 2.85470i | 0.0324508 | − | 0.0998731i | ||||
\(818\) | 3.37222 | + | 10.3786i | 0.117907 | + | 0.362880i | ||||
\(819\) | 0.456076 | − | 0.331359i | 0.0159366 | − | 0.0115786i | ||||
\(820\) | −7.61045 | + | 5.52932i | −0.265769 | + | 0.193092i | ||||
\(821\) | −1.04856 | − | 3.22714i | −0.0365950 | − | 0.112628i | 0.931090 | − | 0.364789i | \(-0.118859\pi\) |
−0.967685 | + | 0.252161i | \(0.918859\pi\) | |||||||
\(822\) | −3.65251 | + | 11.2413i | −0.127396 | + | 0.392085i | ||||
\(823\) | 28.1776 | + | 20.4722i | 0.982208 | + | 0.713616i | 0.958201 | − | 0.286096i | \(-0.0923575\pi\) |
0.0240073 | + | 0.999712i | \(0.492358\pi\) | |||||||
\(824\) | −32.9186 | −1.14677 | ||||||||
\(825\) | 7.77430 | + | 10.3150i | 0.270666 | + | 0.359124i | ||||
\(826\) | −1.16699 | −0.0406047 | ||||||||
\(827\) | 17.9840 | + | 13.0662i | 0.625365 | + | 0.454355i | 0.854792 | − | 0.518971i | \(-0.173685\pi\) |
−0.229426 | + | 0.973326i | \(0.573685\pi\) | |||||||
\(828\) | 0.210329 | − | 0.647326i | 0.00730943 | − | 0.0224961i | ||||
\(829\) | −5.44222 | − | 16.7494i | −0.189016 | − | 0.581731i | 0.810978 | − | 0.585076i | \(-0.198935\pi\) |
−0.999994 | + | 0.00334471i | \(0.998935\pi\) | |||||||
\(830\) | 42.1843 | − | 30.6487i | 1.46424 | − | 1.06383i | ||||
\(831\) | 7.25246 | − | 5.26922i | 0.251585 | − | 0.182787i | ||||
\(832\) | −2.74081 | − | 8.43535i | −0.0950205 | − | 0.292443i | ||||
\(833\) | 5.15171 | − | 15.8553i | 0.178496 | − | 0.549355i | ||||
\(834\) | −5.51815 | − | 4.00917i | −0.191078 | − | 0.138826i | ||||
\(835\) | −34.3436 | −1.18851 | ||||||||
\(836\) | −4.87477 | − | 1.48992i | −0.168597 | − | 0.0515299i | ||||
\(837\) | 26.4608 | 0.914618 | ||||||||
\(838\) | 16.5168 | + | 12.0002i | 0.570564 | + | 0.414539i | ||||
\(839\) | −3.50209 | + | 10.7783i | −0.120905 | + | 0.372109i | −0.993133 | − | 0.116992i | \(-0.962675\pi\) |
0.872227 | + | 0.489101i | \(0.162675\pi\) | |||||||
\(840\) | 3.56825 | + | 10.9819i | 0.123116 | + | 0.378913i | ||||
\(841\) | 20.4815 | − | 14.8807i | 0.706259 | − | 0.513128i | ||||
\(842\) | −36.1356 | + | 26.2540i | −1.24531 | + | 0.904773i | ||||
\(843\) | 4.61593 | + | 14.2064i | 0.158981 | + | 0.489293i | ||||
\(844\) | −1.86275 | + | 5.73296i | −0.0641186 | + | 0.197337i | ||||
\(845\) | 2.14189 | + | 1.55618i | 0.0736833 | + | 0.0535341i | ||||
\(846\) | −6.26161 | −0.215279 | ||||||||
\(847\) | −2.25818 | + | 7.88020i | −0.0775918 | + | 0.270767i | ||||
\(848\) | −23.3086 | −0.800422 | ||||||||
\(849\) | 28.9272 | + | 21.0168i | 0.992779 | + | 0.721296i | ||||
\(850\) | −2.06150 | + | 6.34463i | −0.0707087 | + | 0.217619i | ||||
\(851\) | −6.84026 | − | 21.0522i | −0.234481 | − | 0.721659i | ||||
\(852\) | −7.66793 | + | 5.57108i | −0.262699 | + | 0.190862i | ||||
\(853\) | −6.64024 | + | 4.82442i | −0.227358 | + | 0.165185i | −0.695632 | − | 0.718398i | \(-0.744876\pi\) |
0.468275 | + | 0.883583i | \(0.344876\pi\) | |||||||
\(854\) | −0.558204 | − | 1.71797i | −0.0191013 | − | 0.0587879i | ||||
\(855\) | 2.69580 | − | 8.29680i | 0.0921943 | − | 0.283745i | ||||
\(856\) | −24.7630 | − | 17.9914i | −0.846383 | − | 0.614933i | ||||
\(857\) | 48.7793 | 1.66627 | 0.833135 | − | 0.553069i | \(-0.186544\pi\) | ||||
0.833135 | + | 0.553069i | \(0.186544\pi\) | |||||||
\(858\) | 7.88972 | + | 2.41140i | 0.269351 | + | 0.0823240i | ||||
\(859\) | 47.9050 | 1.63450 | 0.817249 | − | 0.576285i | \(-0.195498\pi\) | ||||
0.817249 | + | 0.576285i | \(0.195498\pi\) | |||||||
\(860\) | 0.520795 | + | 0.378380i | 0.0177590 | + | 0.0129026i | ||||
\(861\) | 4.49453 | − | 13.8328i | 0.153173 | − | 0.471419i | ||||
\(862\) | −6.02841 | − | 18.5535i | −0.205328 | − | 0.631936i | ||||
\(863\) | 34.6522 | − | 25.1763i | 1.17957 | − | 0.857011i | 0.187450 | − | 0.982274i | \(-0.439978\pi\) |
0.992124 | + | 0.125264i | \(0.0399776\pi\) | |||||||
\(864\) | 6.93429 | − | 5.03805i | 0.235909 | − | 0.171398i | ||||
\(865\) | 0.217845 | + | 0.670457i | 0.00740694 | + | 0.0227962i | ||||
\(866\) | −9.08851 | + | 27.9716i | −0.308840 | + | 0.950512i | ||||
\(867\) | 16.1634 | + | 11.7434i | 0.548939 | + | 0.398827i | ||||
\(868\) | 1.60010 | 0.0543109 | ||||||||
\(869\) | 16.3915 | + | 21.7485i | 0.556045 | + | 0.737768i | ||||
\(870\) | 12.6394 | 0.428514 | ||||||||
\(871\) | −9.07071 | − | 6.59025i | −0.307349 | − | 0.223302i | ||||
\(872\) | 12.7680 | − | 39.2959i | 0.432380 | − | 1.33073i | ||||
\(873\) | −0.860029 | − | 2.64690i | −0.0291076 | − | 0.0895839i | ||||
\(874\) | −11.5326 | + | 8.37894i | −0.390097 | + | 0.283422i | ||||
\(875\) | −4.77354 | + | 3.46818i | −0.161375 | + | 0.117246i | ||||
\(876\) | −2.67269 | − | 8.22570i | −0.0903019 | − | 0.277921i | ||||
\(877\) | 5.13006 | − | 15.7887i | 0.173230 | − | 0.533146i | −0.826318 | − | 0.563203i | \(-0.809569\pi\) |
0.999548 | + | 0.0300569i | \(0.00956884\pi\) | |||||||
\(878\) | 5.56508 | + | 4.04327i | 0.187812 | + | 0.136454i | ||||
\(879\) | −45.1174 | −1.52177 | ||||||||
\(880\) | −15.9628 | + | 22.8013i | −0.538106 | + | 0.768632i | ||||
\(881\) | −38.2957 | −1.29021 | −0.645107 | − | 0.764092i | \(-0.723187\pi\) | ||||
−0.645107 | + | 0.764092i | \(0.723187\pi\) | |||||||
\(882\) | 5.06200 | + | 3.67776i | 0.170446 | + | 0.123837i | ||||
\(883\) | −2.69019 | + | 8.27955i | −0.0905321 | + | 0.278629i | −0.986064 | − | 0.166369i | \(-0.946796\pi\) |
0.895531 | + | 0.444998i | \(0.146796\pi\) | |||||||
\(884\) | −0.282056 | − | 0.868079i | −0.00948657 | − | 0.0291966i | ||||
\(885\) | −5.06530 | + | 3.68015i | −0.170268 | + | 0.123707i | ||||
\(886\) | 5.15536 | − | 3.74559i | 0.173198 | − | 0.125835i | ||||
\(887\) | 0.464261 | + | 1.42885i | 0.0155884 | + | 0.0479761i | 0.958548 | − | 0.284931i | \(-0.0919706\pi\) |
−0.942960 | + | 0.332907i | \(0.891971\pi\) | |||||||
\(888\) | −15.6996 | + | 48.3183i | −0.526843 | + | 1.62146i | ||||
\(889\) | 6.25203 | + | 4.54237i | 0.209686 | + | 0.152346i | ||||
\(890\) | 21.1415 | 0.708663 | ||||||||
\(891\) | 0.622173 | + | 35.4731i | 0.0208436 | + | 1.18839i | ||||
\(892\) | −1.91407 | −0.0640877 | ||||||||
\(893\) | −22.7272 | − | 16.5123i | −0.760537 | − | 0.552563i | ||||
\(894\) | 11.9592 | − | 36.8066i | 0.399975 | − | 1.23100i | ||||
\(895\) | 12.6503 | + | 38.9336i | 0.422852 | + | 1.30141i | ||||
\(896\) | −4.48604 | + | 3.25930i | −0.149868 | + | 0.108885i | ||||
\(897\) | −3.99838 | + | 2.90499i | −0.133502 | + | 0.0969949i | ||||
\(898\) | 7.49945 | + | 23.0809i | 0.250260 | + | 0.770221i | ||||
\(899\) | 3.60904 | − | 11.1075i | 0.120368 | − | 0.370455i | ||||
\(900\) | 0.433912 | + | 0.315255i | 0.0144637 | + | 0.0105085i | ||||
\(901\) | −19.0219 | −0.633710 | ||||||||
\(902\) | 40.5276 | − | 13.9586i | 1.34942 | − | 0.464770i | ||||
\(903\) | −0.995311 | −0.0331219 | ||||||||
\(904\) | −39.1368 | − | 28.4345i | −1.30167 | − | 0.945719i | ||||
\(905\) | −11.6300 | + | 35.7935i | −0.386595 | + | 1.18982i | ||||
\(906\) | 14.3237 | + | 44.0839i | 0.475874 | + | 1.46459i | ||||
\(907\) | 22.5670 | − | 16.3959i | 0.749323 | − | 0.544415i | −0.146294 | − | 0.989241i | \(-0.546734\pi\) |
0.895617 | + | 0.444826i | \(0.146734\pi\) | |||||||
\(908\) | −7.94783 | + | 5.77443i | −0.263758 | + | 0.191631i | ||||
\(909\) | −1.85510 | − | 5.70942i | −0.0615299 | − | 0.189369i | ||||
\(910\) | 0.782477 | − | 2.40822i | 0.0259389 | − | 0.0798316i | ||||
\(911\) | −14.7001 | − | 10.6802i | −0.487036 | − | 0.353852i | 0.317007 | − | 0.948423i | \(-0.397322\pi\) |
−0.804043 | + | 0.594571i | \(0.797322\pi\) | |||||||
\(912\) | 26.7603 | 0.886123 | ||||||||
\(913\) | 48.1216 | − | 16.5741i | 1.59259 | − | 0.548523i | ||||
\(914\) | −22.6454 | −0.749042 | ||||||||
\(915\) | −7.84060 | − | 5.69653i | −0.259202 | − | 0.188321i | ||||
\(916\) | −1.33910 | + | 4.12133i | −0.0442452 | + | 0.136173i | ||||
\(917\) | −1.37199 | − | 4.22254i | −0.0453070 | − | 0.139441i | ||||
\(918\) | −11.6793 | + | 8.48548i | −0.385473 | + | 0.280062i | ||||
\(919\) | 10.1412 | − | 7.36799i | 0.334526 | − | 0.243047i | −0.407823 | − | 0.913061i | \(-0.633712\pi\) |
0.742349 | + | 0.670014i | \(0.233712\pi\) | |||||||
\(920\) | −6.29968 | − | 19.3884i | −0.207694 | − | 0.639218i | ||||
\(921\) | 6.01647 | − | 18.5168i | 0.198250 | − | 0.610149i | ||||
\(922\) | 4.68627 | + | 3.40477i | 0.154334 | + | 0.112130i | ||||
\(923\) | 13.8595 | 0.456190 | ||||||||
\(924\) | 0.0296413 | + | 1.68999i | 0.000975128 | + | 0.0555967i | ||||
\(925\) | 17.4429 | 0.573518 | ||||||||
\(926\) | −32.9204 | − | 23.9180i | −1.08183 | − | 0.785996i | ||||
\(927\) | 2.54836 | − | 7.84305i | 0.0836992 | − | 0.257600i | ||||
\(928\) | −1.16905 | − | 3.59797i | −0.0383759 | − | 0.118109i | ||||
\(929\) | −43.4014 | + | 31.5329i | −1.42395 | + | 1.03456i | −0.432850 | + | 0.901466i | \(0.642492\pi\) |
−0.991103 | + | 0.133096i | \(0.957508\pi\) | |||||||
\(930\) | −32.4218 | + | 23.5558i | −1.06315 | + | 0.772426i | ||||
\(931\) | 8.67459 | + | 26.6976i | 0.284298 | + | 0.874980i | ||||
\(932\) | 0.560828 | − | 1.72605i | 0.0183705 | − | 0.0565386i | ||||
\(933\) | 5.44740 | + | 3.95777i | 0.178340 | + | 0.129572i | ||||
\(934\) | 6.56590 | 0.214843 | ||||||||
\(935\) | −13.0270 | + | 18.6078i | −0.426029 | + | 0.608542i | ||||
\(936\) | 2.28433 | 0.0746655 | ||||||||
\(937\) | −9.24364 | − | 6.71590i | −0.301977 | − | 0.219399i | 0.426470 | − | 0.904502i | \(-0.359757\pi\) |
−0.728446 | + | 0.685103i | \(0.759757\pi\) | |||||||
\(938\) | −3.31372 | + | 10.1986i | −0.108197 | + | 0.332995i | ||||
\(939\) | −7.19385 | − | 22.1404i | −0.234763 | − | 0.722525i | ||||
\(940\) | 4.87419 | − | 3.54130i | 0.158978 | − | 0.115505i | ||||
\(941\) | 20.4280 | − | 14.8418i | 0.665933 | − | 0.483828i | −0.202729 | − | 0.979235i | \(-0.564981\pi\) |
0.868661 | + | 0.495407i | \(0.164981\pi\) | |||||||
\(942\) | 11.8579 | + | 36.4948i | 0.386350 | + | 1.18906i | ||||
\(943\) | −7.93502 | + | 24.4215i | −0.258400 | + | 0.795273i | ||||
\(944\) | −3.12902 | − | 2.27336i | −0.101841 | − | 0.0739917i | ||||
\(945\) | 8.57911 | 0.279079 | ||||||||
\(946\) | −1.76547 | − | 2.34245i | −0.0574005 | − | 0.0761597i | ||||
\(947\) | −32.9370 | −1.07031 | −0.535154 | − | 0.844755i | \(-0.679746\pi\) | ||||
−0.535154 | + | 0.844755i | \(0.679746\pi\) | |||||||
\(948\) | 4.54301 | + | 3.30069i | 0.147550 | + | 0.107201i | ||||
\(949\) | −3.90819 | + | 12.0282i | −0.126865 | + | 0.390451i | ||||
\(950\) | −3.47120 | − | 10.6833i | −0.112621 | − | 0.346611i | ||||
\(951\) | 17.3112 | − | 12.5773i | 0.561355 | − | 0.407848i | ||||
\(952\) | −4.70945 | + | 3.42161i | −0.152634 | + | 0.110895i | ||||
\(953\) | 8.55923 | + | 26.3426i | 0.277261 | + | 0.853321i | 0.988612 | + | 0.150484i | \(0.0480833\pi\) |
−0.711352 | + | 0.702836i | \(0.751917\pi\) | |||||||
\(954\) | 2.20613 | − | 6.78976i | 0.0714260 | − | 0.219827i | ||||
\(955\) | −34.7247 | − | 25.2290i | −1.12366 | − | 0.816390i | ||||
\(956\) | 6.05227 | 0.195744 | ||||||||
\(957\) | 11.7984 | + | 3.60603i | 0.381387 | + | 0.116566i | ||||
\(958\) | −45.9909 | −1.48590 | ||||||||
\(959\) | 2.86478 | + | 2.08138i | 0.0925086 | + | 0.0672114i | ||||
\(960\) | −14.0640 | + | 43.2846i | −0.453914 | + | 1.39701i | ||||
\(961\) | 1.86364 | + | 5.73569i | 0.0601174 | + | 0.185022i | ||||
\(962\) | 9.01321 | − | 6.54848i | 0.290598 | − | 0.211132i | ||||
\(963\) | 6.20356 | − | 4.50715i | 0.199907 | − | 0.145241i | ||||
\(964\) | −0.928827 | − | 2.85863i | −0.0299155 | − | 0.0920704i | ||||
\(965\) | −9.17485 | + | 28.2373i | −0.295349 | + | 0.908990i | ||||
\(966\) | 3.82414 | + | 2.77840i | 0.123040 | + | 0.0893935i | ||||
\(967\) | 32.1552 | 1.03404 | 0.517021 | − | 0.855973i | \(-0.327041\pi\) | ||||
0.517021 | + | 0.855973i | \(0.327041\pi\) | |||||||
\(968\) | −26.1715 | + | 20.4545i | −0.841183 | + | 0.657432i | ||||
\(969\) | 21.8387 | 0.701561 | ||||||||
\(970\) | −10.1134 | − | 7.34783i | −0.324722 | − | 0.235925i | ||||
\(971\) | −1.89650 | + | 5.83684i | −0.0608617 | + | 0.187313i | −0.976865 | − | 0.213858i | \(-0.931397\pi\) |
0.916003 | + | 0.401172i | \(0.131397\pi\) | |||||||
\(972\) | 0.838255 | + | 2.57989i | 0.0268871 | + | 0.0827499i | ||||
\(973\) | −1.65317 | + | 1.20110i | −0.0529982 | + | 0.0385055i | ||||
\(974\) | 31.0681 | − | 22.5723i | 0.995486 | − | 0.723263i | ||||
\(975\) | −1.20347 | − | 3.70391i | −0.0385419 | − | 0.118620i | ||||
\(976\) | 1.85002 | − | 5.69378i | 0.0592178 | − | 0.182254i | ||||
\(977\) | −23.5584 | − | 17.1162i | −0.753701 | − | 0.547596i | 0.143271 | − | 0.989684i | \(-0.454238\pi\) |
−0.896972 | + | 0.442087i | \(0.854238\pi\) | |||||||
\(978\) | 22.3757 | 0.715496 | ||||||||
\(979\) | 19.7347 | + | 6.03170i | 0.630725 | + | 0.192774i | ||||
\(980\) | −6.02036 | −0.192313 | ||||||||
\(981\) | 8.37406 | + | 6.08411i | 0.267363 | + | 0.194251i | ||||
\(982\) | 6.26296 | − | 19.2754i | 0.199859 | − | 0.615103i | ||||
\(983\) | −6.34571 | − | 19.5301i | −0.202397 | − | 0.622913i | −0.999810 | − | 0.0194801i | \(-0.993799\pi\) |
0.797413 | − | 0.603433i | \(-0.206201\pi\) | |||||||
\(984\) | 47.6802 | − | 34.6417i | 1.51999 | − | 1.10434i | ||||
\(985\) | 33.9680 | − | 24.6792i | 1.08231 | − | 0.786343i | ||||
\(986\) | 1.96900 | + | 6.05997i | 0.0627058 | + | 0.192989i | ||||
\(987\) | −2.87857 | + | 8.85932i | −0.0916258 | + | 0.281995i | ||||
\(988\) | 1.24339 | + | 0.903377i | 0.0395576 | + | 0.0287402i | ||||
\(989\) | 1.75720 | 0.0558758 | ||||||||
\(990\) | −5.13113 | − | 6.80804i | −0.163078 | − | 0.216374i | ||||
\(991\) | 24.3966 | 0.774985 | 0.387492 | − | 0.921873i | \(-0.373341\pi\) | ||||
0.387492 | + | 0.921873i | \(0.373341\pi\) | |||||||
\(992\) | 9.70428 | + | 7.05057i | 0.308111 | + | 0.223856i | ||||
\(993\) | 8.82694 | − | 27.1665i | 0.280114 | − | 0.862103i | ||||
\(994\) | −4.09618 | − | 12.6067i | −0.129923 | − | 0.399861i | ||||
\(995\) | 15.2659 | − | 11.0913i | 0.483960 | − | 0.351618i | ||||
\(996\) | 8.49019 | − | 6.16848i | 0.269022 | − | 0.195456i | ||||
\(997\) | 5.83689 | + | 17.9641i | 0.184856 | + | 0.568929i | 0.999946 | − | 0.0104061i | \(-0.00331243\pi\) |
−0.815090 | + | 0.579335i | \(0.803312\pi\) | |||||||
\(998\) | −0.141543 | + | 0.435625i | −0.00448047 | + | 0.0137895i | ||||
\(999\) | 30.5374 | + | 22.1868i | 0.966162 | + | 0.701958i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 143.2.h.b.92.1 | yes | 16 | |
11.3 | even | 5 | inner | 143.2.h.b.14.1 | ✓ | 16 | |
11.5 | even | 5 | 1573.2.a.o.1.6 | 8 | |||
11.6 | odd | 10 | 1573.2.a.n.1.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.2.h.b.14.1 | ✓ | 16 | 11.3 | even | 5 | inner | |
143.2.h.b.92.1 | yes | 16 | 1.1 | even | 1 | trivial | |
1573.2.a.n.1.3 | 8 | 11.6 | odd | 10 | |||
1573.2.a.o.1.6 | 8 | 11.5 | even | 5 |